Suppose there is a claim that a certain population has a mean, µ, that is different than 7. You want to test this claim. To do so, you collect a large random sample from the population and perform a hypothesis test at the 0.10 level of significance. To start this test, you write the null hypothesis, Ho, and the alternative hypothesis, H, as follows. Họ: u=7 H: u#7 Suppose you also know the following information. The value of the test statistic based on the sample is -1.506 (rounded to 3 decimal places). The p-value is o.132 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed Two-tailed 03+ Step 2: Enter the test statistic. (Round to 3 decimal places.) 02+ Step 3: Shade the area represented by the p-value. Step 4: Enter the p-value. (Round to 3 decimal places.) ? (b) Based on your answer to part (a), which statement below is true? Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. Since the p-value is greater than the level of significance, the null hypothesis is rejected. O Since the p-value is greater than the level of
Suppose there is a claim that a certain population has a mean, µ, that is different than 7. You want to test this claim. To do so, you collect a large random sample from the population and perform a hypothesis test at the 0.10 level of significance. To start this test, you write the null hypothesis, Ho, and the alternative hypothesis, H, as follows. Họ: u=7 H: u#7 Suppose you also know the following information. The value of the test statistic based on the sample is -1.506 (rounded to 3 decimal places). The p-value is o.132 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed Two-tailed 03+ Step 2: Enter the test statistic. (Round to 3 decimal places.) 02+ Step 3: Shade the area represented by the p-value. Step 4: Enter the p-value. (Round to 3 decimal places.) ? (b) Based on your answer to part (a), which statement below is true? Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. Since the p-value is greater than the level of significance, the null hypothesis is rejected. O Since the p-value is greater than the level of
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Suppose there is a claim that a certain population has a mean, µ, that is
different than 7. You want to test this claim. To do so, you collect a large
random sample from the population and perform a hypothesis test at the
0.10 level of significance. To start this test, you write the null hypothesis, Ho,
and the alternative hypothesis, H, as follows.
Ho: u=7
H: µ#7
Suppose you also know the following information.
The value of the test statistic based on the sample is - 1.506 (rounded
to 3 decimal places).
The p-value is 0.132 (rounded to 3 decimal places).
(a) Complete the steps below for this hypothesis test.
Normal Distribution
Step 1: Select one-tailed or two-tailed.
O One-tailed
O Two-tailed
03+
Step 2: Enter the test statistic.
(Round to 3 decimal places.)
02
Step 3: Shade the area represented by
the p-value.
0.1
Step 4: Enter the p-value.
(Round to 3 decimal places.)
(b) Based on your answer to part (a), which statement below is true?
O Since the p-value is less than (or equal to) the level of
?
significance, the null hypothesis is rejected.
Since the p-value is less than (or equal to) the level of
significance, the null hypothesis is not rejected.
Since the p-value is greater than the level of
significance, the null hypothesis is rejected.
Since the p-value is greater than the level of
significance, the null hypothesis is not rejected.
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