5Suppose you also know the following information.The critical value is XXXXXXXXXXrounded to 3 decimal places).The value of the test statistic is XXXXXXXXXXrounded to 3 decimal places).(a) Complete...

Extracted text: Suppos v re is a daim that a certain population has a mean, u, that is 5 or less. You want to test this daim. To do so, you collect a large random sample from the population and perform a hypothesis test at the 0.10 level of siqnificance. To start this test, you write the null hypothesis H, and the alternative hypothesis H, as follows. Ho: HS5 H: u>5 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 2.567 (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. Normal Distribution Step 1: Select one-talled or two-tailed. O One-talled O Two-tailed Step 2: Enter the critical value(s). (Round to 3 dedmal places.) 0.2 Step 3: Enter ie test statistic. (Round to 3 delimal 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. 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 0.10 level of significance? The null hypothesis should be rejected. The null hypothesis should not be rejected. )国回回