Question

Andrew, a fitness coach for a large oil company, would like to test if his exercise program has increased muscle mass in his cliental. He predicts the mean proportion increase in muscle mass is more than 6%. Based on the information provided below, conclude whether to reject or not reject H0. H0 : p=0.06; Ha : p>0.06 α=0.05 (significance level) The test statistic is 2.59. The critical value is z0.05=1.65. Select two responses below.Select all that apply:Reject H0.Fail to reject H0.The test statistic falls within the rejection region.The test statistic is NOT in the rejection region

Answer 1

Reject
`H_0`

The test statistic is in the rejection region

Explanation:

Since we want to test if the mean predicted by the coach is greater than the mean of the null hypothesis
`\bf H_0`, this is a right-tailed test. It means that, in order to reject
`\bf H_0`, the test statistic must fall to the right (greater than) of the critical value
`\bf z_0`

Given that 2.56 > 1.65 then we reject
`\bf H_0`

The test statistic is in the rejection region (greater than 1.65)