Assignment:
An anthropologist studying personal advertisements in a Utica, New York, newspaper has observed whether the advertiser included a mention of an interest in the outdoors in his or her ads. According to the anthropologist, citing the outdoors “may be taken to imply not only good life habits, but also sound character.” Overall, 58% of men and 62% of women mentioned the outdoors in their ad. Assuming that the data are in file XR11101, coded as 1 = did not mention the outdoors and 2 = mentioned the outdoors, use the 0.10 level of significance in examining whether the population percentages for men and women who mention the outdoors might be the same. Identify and interpret the p-value for the test, then construct and interpret the 90% confidence interval for the difference between the population proportions.
Provide complete and step by step solution for the question and show calculations and use formulas.