The GfK Custom Research Organization conducted identical surveys five years apart. One question asked women was, Are
Question:
The GfK Custom Research Organization conducted identical surveys five years apart. One question asked women was, "Are most men basically kind, gentle, and thoughtful"? The earlier survey revealed that, of the 3700 women surveyed, 2500 said that they were. In the later survey, 2420 of the 3700 women surveyed thought that men were kind, gentle, and thoughtful. Can we conclude that women think men are less kind, gentle, and thoughtful in the later survey compared with the earlier one? Use 0.02 significance level. Calculate and interpret the p-value.
a. State the decision rule. (Negative answer should be indicated by a minus sign. Round the final answer to 3 decimal places.)
b. Compute the pooled proportion. (Round the final answer to 2 decimal places.)
c. Compute the value of the test statistic. (Negative answer should be indicated by a minus sign. Round the final answer to 2 decimal places.)
d. What is your decision regarding H0?
e. Calculate the p-value.