Suppose there is a claim that a certain population has a mean, µ, that is equal to 5. 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 H, and the alternative hypothesis H, as follows. Ho: µ=5 H: µ±5 Suppose you also know the following information. The critical values are -1.960o and 1.960 (rounded to 3 decimal places). The value of the test statistic is 2.574 (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. O One-tailed 0.3- O Two-tailed Step 2: Enter the critical value(s). (Round to 3 decimal places.) 0.2+ 0.1 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. 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? O The null hypothesis should be rejected. O The null hypothesis should not be rejected.
Suppose there is a claim that a certain population has a mean, µ, that is equal to 5. 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 H, and the alternative hypothesis H, as follows. Ho: µ=5 H: µ±5 Suppose you also know the following information. The critical values are -1.960o and 1.960 (rounded to 3 decimal places). The value of the test statistic is 2.574 (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. O One-tailed 0.3- O Two-tailed Step 2: Enter the critical value(s). (Round to 3 decimal places.) 0.2+ 0.1 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. 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? O The null hypothesis should be rejected. O The null hypothesis should not be rejected.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Transcribed Image Text:Suppose there is a claim that a certain population has a mean, µ, that is
equal to 5. 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 H, and the
alternative hypothesis H, as follows.
Ho: µ=5
H;: µ#5
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 2.574 (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.
O One-tailed
0.3-
O Two-tailed
Step 2: Enter the critical value(s).
(Round to 3 decimal places.)
0.2+
0.1+
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.
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?
O The null hypothesis should be rejected.
O The null hypothesis should not be rejected.
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