Suppose there is a claim that a certain population has a mean, p, that is 5 or less. 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 uSS H; p>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-tailed or two-tailed. 03 o One-tailed O Two-tailed * 0.2 Step 2: Enter the critical value(s). (Round to 3 decimal places.) 0.H Chen .Fei (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? o The null hypothesis should be rejected. o The null hypothesis should not be rejected.

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Suppose there is a claim that a certain population has a mean, p, that is 5 or less. 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.
H; p>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-tailed
or two-tailed.
03
o One-tailed
o Two-tailed
* 0.2
Step 2: Enter the critical
value(s).
(Round to 3 decimal
places.)
0.H
(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?
o 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, p, that is 5 or less. 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. H; p>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-tailed or two-tailed. 03 o One-tailed o Two-tailed * 0.2 Step 2: Enter the critical value(s). (Round to 3 decimal places.) 0.H (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? o The null hypothesis should be rejected. The null hypothesis should not be rejected.
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