Understanding Basic Statistics
8th Edition
ISBN: 9781337558075
Author: Charles Henry Brase, Corrinne Pellillo Brase
Publisher: Cengage Learning
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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
(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
(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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Chapter 9 Solutions
Understanding Basic Statistics
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