Terminology Answer each of the following statements true or false regarding the level of significance a of a hypothesis test. (i) The level of significance is the probability of rejecting the null hypothesis when it is in fact true. (ii)The level of significance of a test depends on the value of the sample test statistic. (iii)The level of significance is generally set in advance before samples are drawn. (iv)The level of significance depends on the alternate hypothesis. (v) The level of significance of a test depends on the sample size .

Question

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Answer 1

Textbook Question

Chapter 9, Problem 1CR

Terminology Answer each of the following statements true or false regarding the level of significance a of a hypothesis test.

(i) The level of significance is the probability of rejecting the null hypothesis when it is in fact true.

(ii)The level of significance of a test depends on the value of the sample test statistic.

(iii)The level of significance is generally set in advance before samples are drawn.

(iv)The level of significance depends on the alternate hypothesis.

(v) The level of significance of a test depends on the sample size.

(i)

Expert Solution

To determine

The statement “The level of significance is the probability of rejecting the null hypothesis when it is in fact true.” is true or false.

Answer to Problem 1CR

Solution: The statement “The level of significance is the probability of rejecting the null hypothesis when it is in fact true.” is true.

Explanation of Solution

The level of significance is the probability of rejecting the null hypothesis when it is in fact true is true. This is the probability of type I error when we reject the null hypothesis.

(ii)

Expert Solution

To determine

The statement “The level of significance of a test depends on the value of the sample test statistic.” is true or false.

Answer to Problem 1CR

Solution: The statement “The level of significance of a test depends on the value of the sample test statistic.” is false.

Explanation of Solution

The level of significance is determined by the researcher before conducting the experiment. The significance level decides whether to reject the alternate hypothesis or not. Hence the level of significance of a test does not depend on the value of the sample test statistic.

(iii)

Expert Solution

To determine

The statement “The level of significance is generally set in advance before samples are drawn.” is true or false.

Answer to Problem 1CR

Solution: The statement “The level of significance is generally set in advance before samples are drawn.” is true.

Explanation of Solution

The level of significance is determined by the researcher before conducting the experiment. The significance level decides whether to reject the alternate hypothesis or not. Hence the statement “The level of significance is generally set in advance before samples are drawn.” is true.

(iv)

Expert Solution

To determine

The statement “The level of significance depends on the alternate hypothesis.” is true or false.

Answer to Problem 1CR

Solution: The statement “The level of significance depends on the alternate hypothesis” is false.

Explanation of Solution

The level of significance is determined by the researcher before conducting the experiment. The significance level decides whether to reject the alternate hypothesis or not. The statement “The level of significance depends on the alternate hypothesis” is false.

(v)

Expert Solution

To determine

The statement “The level of significance of a test depends on the sample size.” is true or false.

Answer to Problem 1CR

Solution: The statement “The level of significance of a test depends on the sample size.” is false.

Explanation of Solution

The level of significance is determined by the researcher before conducting the experiment. The significance level decides whether to reject the alternate hypothesis or not. The statement “The level of significance of a test depends on the sample size.” is false.

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Answer 2

Textbook Question

Chapter 9, Problem 1CR

Terminology Answer each of the following statements true or false regarding the level of significance a of a hypothesis test.

(i) The level of significance is the probability of rejecting the null hypothesis when it is in fact true.

(ii)The level of significance of a test depends on the value of the sample test statistic.

(iii)The level of significance is generally set in advance before samples are drawn.

(iv)The level of significance depends on the alternate hypothesis.

(v) The level of significance of a test depends on the sample size.

(i)

Expert Solution

To determine

The statement “The level of significance is the probability of rejecting the null hypothesis when it is in fact true.” is true or false.

Answer to Problem 1CR

Solution: The statement “The level of significance is the probability of rejecting the null hypothesis when it is in fact true.” is true.

Explanation of Solution

The level of significance is the probability of rejecting the null hypothesis when it is in fact true is true. This is the probability of type I error when we reject the null hypothesis.

(ii)

Expert Solution

To determine

The statement “The level of significance of a test depends on the value of the sample test statistic.” is true or false.

Answer to Problem 1CR

Solution: The statement “The level of significance of a test depends on the value of the sample test statistic.” is false.

Explanation of Solution

The level of significance is determined by the researcher before conducting the experiment. The significance level decides whether to reject the alternate hypothesis or not. Hence the level of significance of a test does not depend on the value of the sample test statistic.

(iii)

Expert Solution

To determine

The statement “The level of significance is generally set in advance before samples are drawn.” is true or false.

Answer to Problem 1CR

Solution: The statement “The level of significance is generally set in advance before samples are drawn.” is true.

Explanation of Solution

The level of significance is determined by the researcher before conducting the experiment. The significance level decides whether to reject the alternate hypothesis or not. Hence the statement “The level of significance is generally set in advance before samples are drawn.” is true.

(iv)

Expert Solution

To determine

The statement “The level of significance depends on the alternate hypothesis.” is true or false.

Answer to Problem 1CR

Solution: The statement “The level of significance depends on the alternate hypothesis” is false.

Explanation of Solution

The level of significance is determined by the researcher before conducting the experiment. The significance level decides whether to reject the alternate hypothesis or not. The statement “The level of significance depends on the alternate hypothesis” is false.

(v)

Expert Solution

To determine

The statement “The level of significance of a test depends on the sample size.” is true or false.

Answer to Problem 1CR

Solution: The statement “The level of significance of a test depends on the sample size.” is false.

Explanation of Solution

The level of significance is determined by the researcher before conducting the experiment. The significance level decides whether to reject the alternate hypothesis or not. The statement “The level of significance of a test depends on the sample size.” is false.

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Answer 3

Textbook Question

Chapter 9, Problem 1CR

Terminology Answer each of the following statements true or false regarding the level of significance a of a hypothesis test.

(i) The level of significance is the probability of rejecting the null hypothesis when it is in fact true.

(ii)The level of significance of a test depends on the value of the sample test statistic.

(iii)The level of significance is generally set in advance before samples are drawn.

(iv)The level of significance depends on the alternate hypothesis.

(v) The level of significance of a test depends on the sample size.

(i)

Expert Solution

To determine

The statement “The level of significance is the probability of rejecting the null hypothesis when it is in fact true.” is true or false.

Answer to Problem 1CR

Solution: The statement “The level of significance is the probability of rejecting the null hypothesis when it is in fact true.” is true.

Explanation of Solution

The level of significance is the probability of rejecting the null hypothesis when it is in fact true is true. This is the probability of type I error when we reject the null hypothesis.

(ii)

Expert Solution

To determine

The statement “The level of significance of a test depends on the value of the sample test statistic.” is true or false.

Answer to Problem 1CR

Solution: The statement “The level of significance of a test depends on the value of the sample test statistic.” is false.

Explanation of Solution

The level of significance is determined by the researcher before conducting the experiment. The significance level decides whether to reject the alternate hypothesis or not. Hence the level of significance of a test does not depend on the value of the sample test statistic.

(iii)

Expert Solution

To determine

The statement “The level of significance is generally set in advance before samples are drawn.” is true or false.

Answer to Problem 1CR

Solution: The statement “The level of significance is generally set in advance before samples are drawn.” is true.

Explanation of Solution

The level of significance is determined by the researcher before conducting the experiment. The significance level decides whether to reject the alternate hypothesis or not. Hence the statement “The level of significance is generally set in advance before samples are drawn.” is true.

(iv)

Expert Solution

To determine

The statement “The level of significance depends on the alternate hypothesis.” is true or false.

Answer to Problem 1CR

Solution: The statement “The level of significance depends on the alternate hypothesis” is false.

Explanation of Solution

The level of significance is determined by the researcher before conducting the experiment. The significance level decides whether to reject the alternate hypothesis or not. The statement “The level of significance depends on the alternate hypothesis” is false.

(v)

Expert Solution

To determine

The statement “The level of significance of a test depends on the sample size.” is true or false.

Answer to Problem 1CR

Solution: The statement “The level of significance of a test depends on the sample size.” is false.

Explanation of Solution

The level of significance is determined by the researcher before conducting the experiment. The significance level decides whether to reject the alternate hypothesis or not. The statement “The level of significance of a test depends on the sample size.” is false.

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Answer 4

Textbook Question

Chapter 9, Problem 1CR

Terminology Answer each of the following statements true or false regarding the level of significance a of a hypothesis test.

(i) The level of significance is the probability of rejecting the null hypothesis when it is in fact true.

(ii)The level of significance of a test depends on the value of the sample test statistic.

(iii)The level of significance is generally set in advance before samples are drawn.

(iv)The level of significance depends on the alternate hypothesis.

(v) The level of significance of a test depends on the sample size.

(i)

Expert Solution

To determine

The statement “The level of significance is the probability of rejecting the null hypothesis when it is in fact true.” is true or false.

Answer to Problem 1CR

Solution: The statement “The level of significance is the probability of rejecting the null hypothesis when it is in fact true.” is true.

Explanation of Solution

The level of significance is the probability of rejecting the null hypothesis when it is in fact true is true. This is the probability of type I error when we reject the null hypothesis.

(ii)

Expert Solution

To determine

The statement “The level of significance of a test depends on the value of the sample test statistic.” is true or false.

Answer to Problem 1CR

Solution: The statement “The level of significance of a test depends on the value of the sample test statistic.” is false.

Explanation of Solution

The level of significance is determined by the researcher before conducting the experiment. The significance level decides whether to reject the alternate hypothesis or not. Hence the level of significance of a test does not depend on the value of the sample test statistic.

(iii)

Expert Solution

To determine

The statement “The level of significance is generally set in advance before samples are drawn.” is true or false.

Answer to Problem 1CR

Solution: The statement “The level of significance is generally set in advance before samples are drawn.” is true.

Explanation of Solution

The level of significance is determined by the researcher before conducting the experiment. The significance level decides whether to reject the alternate hypothesis or not. Hence the statement “The level of significance is generally set in advance before samples are drawn.” is true.

(iv)

Expert Solution

To determine

The statement “The level of significance depends on the alternate hypothesis.” is true or false.

Answer to Problem 1CR

Solution: The statement “The level of significance depends on the alternate hypothesis” is false.

Explanation of Solution

The level of significance is determined by the researcher before conducting the experiment. The significance level decides whether to reject the alternate hypothesis or not. The statement “The level of significance depends on the alternate hypothesis” is false.

(v)

Expert Solution

To determine

The statement “The level of significance of a test depends on the sample size.” is true or false.

Answer to Problem 1CR

Solution: The statement “The level of significance of a test depends on the sample size.” is false.

Explanation of Solution

The level of significance is determined by the researcher before conducting the experiment. The significance level decides whether to reject the alternate hypothesis or not. The statement “The level of significance of a test depends on the sample size.” is false.

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Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

(i)

Expert Solution

To determine

The statement “The level of significance is the probability of rejecting the null hypothesis when it is in fact true.” is true or false.

Answer to Problem 1CR

Solution: The statement “The level of significance is the probability of rejecting the null hypothesis when it is in fact true.” is true.

Explanation of Solution

The level of significance is the probability of rejecting the null hypothesis when it is in fact true is true. This is the probability of type I error when we reject the null hypothesis.

(ii)

Expert Solution

To determine

The statement “The level of significance of a test depends on the value of the sample test statistic.” is true or false.

Answer to Problem 1CR

Solution: The statement “The level of significance of a test depends on the value of the sample test statistic.” is false.

Explanation of Solution

The level of significance is determined by the researcher before conducting the experiment. The significance level decides whether to reject the alternate hypothesis or not. Hence the level of significance of a test does not depend on the value of the sample test statistic.

(iii)

Expert Solution

To determine

The statement “The level of significance is generally set in advance before samples are drawn.” is true or false.

Answer to Problem 1CR

Solution: The statement “The level of significance is generally set in advance before samples are drawn.” is true.

Explanation of Solution

The level of significance is determined by the researcher before conducting the experiment. The significance level decides whether to reject the alternate hypothesis or not. Hence the statement “The level of significance is generally set in advance before samples are drawn.” is true.

(iv)

Expert Solution

To determine

The statement “The level of significance depends on the alternate hypothesis.” is true or false.

Answer to Problem 1CR

Solution: The statement “The level of significance depends on the alternate hypothesis” is false.

Explanation of Solution

The level of significance is determined by the researcher before conducting the experiment. The significance level decides whether to reject the alternate hypothesis or not. The statement “The level of significance depends on the alternate hypothesis” is false.

(v)

Expert Solution

To determine

The statement “The level of significance of a test depends on the sample size.” is true or false.

Answer to Problem 1CR

Solution: The statement “The level of significance of a test depends on the sample size.” is false.

Explanation of Solution

The level of significance is determined by the researcher before conducting the experiment. The significance level decides whether to reject the alternate hypothesis or not. The statement “The level of significance of a test depends on the sample size.” is false.

Answer 8

(i)

Expert Solution

To determine

The statement “The level of significance is the probability of rejecting the null hypothesis when it is in fact true.” is true or false.

Answer to Problem 1CR

Solution: The statement “The level of significance is the probability of rejecting the null hypothesis when it is in fact true.” is true.

Explanation of Solution

The level of significance is the probability of rejecting the null hypothesis when it is in fact true is true. This is the probability of type I error when we reject the null hypothesis.

Answer 9

(i)

Expert Solution

Answer 10

(i)

Expert Solution

Answer 11

Expert Solution

Answer 12

To determine

The statement “The level of significance is the probability of rejecting the null hypothesis when it is in fact true.” is true or false.

Answer 13

Answer to Problem 1CR

Solution: The statement “The level of significance is the probability of rejecting the null hypothesis when it is in fact true.” is true.

Answer 14

Explanation of Solution

The level of significance is the probability of rejecting the null hypothesis when it is in fact true is true. This is the probability of type I error when we reject the null hypothesis.

Answer 15

(ii)

Expert Solution

To determine

The statement “The level of significance of a test depends on the value of the sample test statistic.” is true or false.

Answer to Problem 1CR

Solution: The statement “The level of significance of a test depends on the value of the sample test statistic.” is false.

Explanation of Solution

The level of significance is determined by the researcher before conducting the experiment. The significance level decides whether to reject the alternate hypothesis or not. Hence the level of significance of a test does not depend on the value of the sample test statistic.

Answer 16

(ii)

Expert Solution

Answer 17

(ii)

Expert Solution

Answer 18

Expert Solution

Answer 19

To determine

The statement “The level of significance of a test depends on the value of the sample test statistic.” is true or false.

Answer 20

Answer to Problem 1CR

Solution: The statement “The level of significance of a test depends on the value of the sample test statistic.” is false.

Answer 21

Explanation of Solution

The level of significance is determined by the researcher before conducting the experiment. The significance level decides whether to reject the alternate hypothesis or not. Hence the level of significance of a test does not depend on the value of the sample test statistic.

Answer 22

(iii)

Expert Solution

To determine

The statement “The level of significance is generally set in advance before samples are drawn.” is true or false.

Answer to Problem 1CR

Solution: The statement “The level of significance is generally set in advance before samples are drawn.” is true.

Explanation of Solution

The level of significance is determined by the researcher before conducting the experiment. The significance level decides whether to reject the alternate hypothesis or not. Hence the statement “The level of significance is generally set in advance before samples are drawn.” is true.

Answer 23

(iii)

Expert Solution

Answer 24

(iii)

Expert Solution

Answer 25

Expert Solution

Answer 26

To determine

The statement “The level of significance is generally set in advance before samples are drawn.” is true or false.

Answer 27

Answer to Problem 1CR

Solution: The statement “The level of significance is generally set in advance before samples are drawn.” is true.

Answer 28

Explanation of Solution

The level of significance is determined by the researcher before conducting the experiment. The significance level decides whether to reject the alternate hypothesis or not. Hence the statement “The level of significance is generally set in advance before samples are drawn.” is true.

Answer 29

(iv)

Expert Solution

To determine

The statement “The level of significance depends on the alternate hypothesis.” is true or false.

Answer to Problem 1CR

Solution: The statement “The level of significance depends on the alternate hypothesis” is false.

Explanation of Solution

The level of significance is determined by the researcher before conducting the experiment. The significance level decides whether to reject the alternate hypothesis or not. The statement “The level of significance depends on the alternate hypothesis” is false.

Answer 30

(iv)

Expert Solution

Answer 31

(iv)

Expert Solution

Answer 32

Expert Solution

Answer 33

To determine

The statement “The level of significance depends on the alternate hypothesis.” is true or false.

Answer 34

Answer to Problem 1CR

Solution: The statement “The level of significance depends on the alternate hypothesis” is false.

Answer 35

Explanation of Solution

The level of significance is determined by the researcher before conducting the experiment. The significance level decides whether to reject the alternate hypothesis or not. The statement “The level of significance depends on the alternate hypothesis” is false.

Answer 36

(v)

Expert Solution

To determine

The statement “The level of significance of a test depends on the sample size.” is true or false.

Answer to Problem 1CR

Solution: The statement “The level of significance of a test depends on the sample size.” is false.

Explanation of Solution

The level of significance is determined by the researcher before conducting the experiment. The significance level decides whether to reject the alternate hypothesis or not. The statement “The level of significance of a test depends on the sample size.” is false.

Answer 37

(v)

Expert Solution

Answer 38

(v)

Expert Solution

Answer 39

Expert Solution

Answer 40

To determine

The statement “The level of significance of a test depends on the sample size.” is true or false.

Answer 41

Answer to Problem 1CR

Solution: The statement “The level of significance of a test depends on the sample size.” is false.

Answer 42

Explanation of Solution

The level of significance is determined by the researcher before conducting the experiment. The significance level decides whether to reject the alternate hypothesis or not. The statement “The level of significance of a test depends on the sample size.” is false.