Question

Back in the 1970s it was estimated that about 10% of Americans hunt. However, many of those close to the hunting sport believe there is a decline in the percentage of those that hunt now. A recent study by the US Fish and Wildlife Services found that of the 846 Americans surveyed, 53 of them say they hunt. Using a significance level of 0.05, test the claim that the proportion of American hunters now is less than what it was in the 1970s.

a. State the null and alternative hypotheses.

b. Calculate the test statistic (round p-hat to two decimal places). Round final answer to 2 decimal places. Show your work or no credit.

c. Find the p-value and make an initial decision based on a test statistic of -2.11 ( to be clear, use this assumed test statistic - not the one found in part b). Write your answer in a sentence such as: I reject (or do not reject) the null hypothesis since my p-value of ____________ is . . .

d. Suppose the p-value for this scenario is 0.0035 and the sample proportion of hunters is 5.9%. Interpret what this p-value means in the context of this problem.

Answer 1