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Suppose there is a claim that a certain population has a mean, μ, that is less 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 H and the alternative hypothesis H₁ as follows. H₁: μ = 7 H₁: μ<7 Suppose you also know the following information. The critical value is -1.282 (rounded to 3 decimal places). The value of the test statistic is -0.942 (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. O One-tailed O Two-tailed Step 2: Enter the critical value(s). (Round to 3 decimal places.) Step 3: Enter the test statistic. (Round to 3 decimal places.) (b) Based on your answer to part (a), choose the correct statement. O The value of the test statistic lies in the rejection region. The value of the test statistic doesn't lie in the rejection region. 04 X 03- 02+ 0.1 + X 5 (c) Based on your answer to part (b), which statement below is true at the 0.10 level of significance? O The null hypothesis should be rejected. The null hypothesis should not be rejected. X 5

Suppose there is a claim that a certain population has a mean, μ, that is less 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 H and the alternative hypothesis H₁ as follows. H₁: μ = 7 H₁: μ<7 Suppose you also know the following information. The critical value is -1.282 (rounded to 3 decimal places). The value of the test statistic is -0.942 (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. O One-tailed O Two-tailed Step 2: Enter the critical value(s). (Round to 3 decimal places.) Step 3: Enter the test statistic. (Round to 3 decimal places.) (b) Based on your answer to part (a), choose the correct statement. O The value of the test statistic lies in the rejection region. The value of the test statistic doesn't lie in the rejection region. 04 X 03- 02+ 0.1 + X 5 (c) Based on your answer to part (b), which statement below is true at the 0.10 level of significance? O The null hypothesis should be rejected. The null hypothesis should not be rejected. X 5

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Suppose there is a claim that a certain population has a mean, u, that is less 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 H and the alternative hypothesis H₁ as follows. H₁: μ = 7 H₁: μ<7 Suppose you also know the following information. The critical value is -1.282 (rounded to 3 decimal places). The value of the test statistic is -0.942 (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.) Step 3: Enter the test statistic. (Round to 3 decimal places.) (b) Based on your answer to part (a), choose the correct statement. The value of the test statistic lies in the rejection region. The value of the test statistic doesn't lie in the rejection region. 0.3 X 0.2- 0.1 + X (c) Based on your answer to part (b), which statement below is true at the 0.10 level of significance? The null hypothesis should be rejected. The null hypothesis should not be rejected. ta 3 5
Transcribed Image Text:Suppose there is a claim that a certain population has a mean, u, that is less 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 H and the alternative hypothesis H₁ as follows. H₁: μ = 7 H₁: μ<7 Suppose you also know the following information. The critical value is -1.282 (rounded to 3 decimal places). The value of the test statistic is -0.942 (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.) Step 3: Enter the test statistic. (Round to 3 decimal places.) (b) Based on your answer to part (a), choose the correct statement. The value of the test statistic lies in the rejection region. The value of the test statistic doesn't lie in the rejection region. 0.3 X 0.2- 0.1 + X (c) Based on your answer to part (b), which statement below is true at the 0.10 level of significance? The null hypothesis should be rejected. The null hypothesis should not be rejected. ta 3 5
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