Suppose there is a claim that a certain population has a mean, u, 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: H=7 Suppose you also know the following information. The value of the test statistic based on the sample is - 1.845 (rounded to 3 decimal places). The p-value is 0.065 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. O Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) 0.3 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. o 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 significance, the null hypothesis is not rejected.
Suppose there is a claim that a certain population has a mean, u, 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: H=7 Suppose you also know the following information. The value of the test statistic based on the sample is - 1.845 (rounded to 3 decimal places). The p-value is 0.065 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. O Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) 0.3 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. o 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 significance, the null hypothesis is not rejected.
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, u, 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: H=7
H: u#7
Suppose you also know the following information.
The value of the test statistic based on the sample is - 1.845 (rounded to 3 decimal places).
The p-value is 0.065 (rounded to 3 decimal places).
(a) Complete the steps below for this hypothesis test.
O Two-tailed
Step 2: Enter the test
statistic.
(Round to 3 decimal
places.)
0.3
Step 3: Shade the area
represented by the p-
value.
0.2
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 significance, the null hypothesis is not
rejected.
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