Suppose there is a daim that a certain population has a mean, u, that is greater than g. 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, H,, as follows. Suppose you also know the following information. The value of the test statistic based on the sample is 1.717 (rounded to 3 decimal places). The p-value is 0.043 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. Normal Distribution Step 1: Select one-tailed or two-tailed. o One-tailed o Two-tailed 0.3 Step 2: Enter the test statistic. (Round to 3 decimal 0.2 places.) 0.1t Step 3: Shade the area represented by the p- value. (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. o Since the p-value is greater than the level of significance, the null hypothesis is not rejected. 回田 回 回

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Suppose there is a daim that a certain population has a mean, u, that is greater than g. 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, H,, as follows.
H p>8
Suppose you also know the following information.
The value of the test statistic based on the sample is 1.717 (rounded to 3 decimal places).
The p-value is 0.043 (rounded to 3 decimal places).
(a) Complete the steps below for this hypothesis test.
Normal Distribution
Step 1: Select one-tailed
or two-tailed.
o One-tailed
o Two-tailed
Step 2: Enter the test
statistic.
0.2
(Round to 3 decimal
places.)
Step 3: Shade the area
represented by the p-
value.
(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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Transcribed Image Text:Suppose there is a daim that a certain population has a mean, u, that is greater than g. 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, H,, as follows. H p>8 Suppose you also know the following information. The value of the test statistic based on the sample is 1.717 (rounded to 3 decimal places). The p-value is 0.043 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. Normal Distribution Step 1: Select one-tailed or two-tailed. o One-tailed o Two-tailed Step 2: Enter the test statistic. 0.2 (Round to 3 decimal places.) Step 3: Shade the area represented by the p- value. (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. 回国 回 回
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