Suppose there Is a claim that a certaln population has a mean, u, that is less than 9. You want to test this clalm. 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 29 Suppose you also know the following information. The value of the test statistic based on the sample is -1.995 (rounded to 3 dedimal places). The p-value is 0.023 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. O One-tailed o Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) 0.3 Step 3: Shade the area represented by the p- value. Step 4: Enter the p- value. (Round to 3 decimal places.) (b) Based on your answer to part (a), which statement below is true? Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. Since the p-value is greater than the level of significance, the null hypothesis is rejected. Since the p-value is greater than the level of significance, the null hypothesis is not rejected.

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Suppase there is a claim that a certaln population has a mean, u, that is less than 9. You want to test this clalm. 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, Hy and the alternative hypothesis, H, as follows.
Ho p29
Suppose you also know the following information.
The value of the test statistic based on the sample is -1.995 (rounded to 3 decimal places).
The p-value is 0.023 (rounded to 3 dedmal places).
(a) Complete the steps below for this hypothesis test.
O One-tailed
o Two-tailed
Step 2: Enter the test
statistic.
(Round to 3 decimal
places.)
Step 3: Shade the area
represented by the p-
value.
Step 4: Enter the p-
value.
(Round to 3 decimal
places.)
(b) Based on your answer to part (a), which statement below is true?
Since the p-value is less than (or equal to) the level of significance, the null hypothesis is
rejected.
Since the p-value is less than (or equal to) the level of significance, the null hypothesis is
not rejected.
Since the p-value is greater than the level of significance, the null hypothesis is rejected.
Since the p-value is greater than the level of significance, the null hypothesis is not
rejected.
Transcribed Image Text:Suppase there is a claim that a certaln population has a mean, u, that is less than 9. You want to test this clalm. 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, Hy and the alternative hypothesis, H, as follows. Ho p29 Suppose you also know the following information. The value of the test statistic based on the sample is -1.995 (rounded to 3 decimal places). The p-value is 0.023 (rounded to 3 dedmal places). (a) Complete the steps below for this hypothesis test. O One-tailed o Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) Step 3: Shade the area represented by the p- value. Step 4: Enter the p- value. (Round to 3 decimal places.) (b) Based on your answer to part (a), which statement below is true? Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. Since the p-value is greater than the level of significance, the null hypothesis is rejected. Since the p-value is greater than the level of significance, the null hypothesis is not rejected.
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