Suppose there is a claim that a certain population has a mean, u, that is different than 8. 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 0.05 level of significance. To start this test, you write the null hypothesis Ho and the alternative hypothesis H₁ as follows. Нo: μ=8 H₁: 8 Suppose you also know the following information. The critical values are -1.960 and 1.960 (rounded to 3 decimal places). The value of the test statistic is 0.917 (rounded to 3 decimal places). (a) Complete the steps below to show the rejection region(s) and the value of the test statistic for this test. Standard Normal Distribution Step 1: Select one-tailed or two-tailed. One-tailed Two-tailed Step 2: Enter the critical value(s). (Round to 3 decimal places.) 0.3 2 0.2 Step 3: Enter the test statistic. (Round to 3 decimal places.) 0.1 (b) Based on your answer to part (a), choose the correct statement. The value of the test statistic lies in the rejection region. O The value of the test statistic doesn't lie in the rejection region. (c) Based on your answer to part (b), which statement below is true at the 0.05 level of significance? The null hypothesis should be rejected. The null hypothesis should not be rejected.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 6CR
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Hello, may I get please help with the following? All the questions are provided in the images. An explanation leading to the CORRECT answers would be helpful please! Thank you!
Suppose there is a claim that a certain population has a mean, u, that is different than 8. 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 0.05 level of significance. To start this test, you write the null hypothesis
Ho and the alternative hypothesis H₁ as follows.
Нo: μ=8
H₁: 8
Suppose you also know the following information.
The critical values are -1.960 and 1.960 (rounded to 3 decimal places).
The value of the test statistic is 0.917 (rounded to 3 decimal places).
(a) Complete the steps below to show the rejection region(s) and the value of the test statistic for this test.
Standard Normal Distribution
Step 1: Select one-tailed or two-tailed.
One-tailed
Two-tailed
Step 2: Enter the critical value(s).
(Round to 3 decimal places.)
0.3
2
0.2
Step 3: Enter the test statistic.
(Round to 3 decimal places.)
0.1
(b) Based on your answer to part (a), choose the correct statement.
The value of the test statistic lies in the rejection region.
O The value of the test statistic doesn't lie in the rejection region.
(c) Based on your answer to part (b), which statement below is true at the 0.05 level of significance?
The null hypothesis should be rejected.
The null hypothesis should not be rejected.
Transcribed Image Text:Suppose there is a claim that a certain population has a mean, u, that is different than 8. 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 0.05 level of significance. To start this test, you write the null hypothesis Ho and the alternative hypothesis H₁ as follows. Нo: μ=8 H₁: 8 Suppose you also know the following information. The critical values are -1.960 and 1.960 (rounded to 3 decimal places). The value of the test statistic is 0.917 (rounded to 3 decimal places). (a) Complete the steps below to show the rejection region(s) and the value of the test statistic for this test. Standard Normal Distribution Step 1: Select one-tailed or two-tailed. One-tailed Two-tailed Step 2: Enter the critical value(s). (Round to 3 decimal places.) 0.3 2 0.2 Step 3: Enter the test statistic. (Round to 3 decimal places.) 0.1 (b) Based on your answer to part (a), choose the correct statement. The value of the test statistic lies in the rejection region. O The value of the test statistic doesn't lie in the rejection region. (c) Based on your answer to part (b), which statement below is true at the 0.05 level of significance? The null hypothesis should be rejected. The null hypothesis should not be rejected.
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,