Question: Suppose there is a claim that a certain population has a mean, I, that is different than 7. You want to test this claim. To

 Suppose there is a claim that a certain population has a

Suppose there is a claim that a certain population has a mean, I, that is different than 7. 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, Ho, and the alternative hypothesis, H1, as follows. Ho:1=7 H: H# 7 Suppose you also know the following information. The value of the test statistic based on the sample is - 1.762 (rounded to 3 decimal places). The p-value is 0.078 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. Standard Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed D.3 Step 2: Enter the test statistic. (Round to 3 decimal places.) 02- Step 3: Shade the area represented by the p-value. Step 4: Enter the p-value. (Round to 3 decimal places.) X 5 (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. O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. X 5 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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