Question

How many tissues should a package of tissues contain? Researchers have determined that a person uses an average of 69 tissues during a cold. Suppose a random sample of 2500 people yielded the following data on the number of tissues used during a cold: x = 60, s = 16. Suppose the corresponding test statistic falls in the rejection region at α = .05. What is the correct conclusion? a. At α = .05, reject H0. b. At α = .10, reject H0. c. At α = .05, accept Ha. d. At α = .10, reject Ha.

Answer 1

The correct conclusion is to reject the null hypothesis at the 5 percent level of significance (α = .05) since the test statistic falls in the rejection region.

Step-by-step explanation:

Given the scenario where researchers determined that a person uses an average of 69 tissues during a cold and a random sample of 2500 people yielded an average of 60 tissues used with a standard deviation of 16, the fact that the corresponding test statistic falls in the rejection region at α = .05 indicates a significant result.

Therefore, the correct conclusion to draw would be to reject the null hypothesis (H0) at the 5 percent level of significance, which corresponds to option a. At α = .05, reject H0. This decision is made because the predetermined alpha level (α) of the test is 0.05, and the test statistic being in the rejection region implies that the p-value is less than α, leading to a rejection of H0 in favor of the alternative hypothesis (Ha).