A recent study focused on the number of times men and women who live alone buy take-out dinner in a month. Assume that the distributions follow the normal probability distribution and the population standard deviations are equal. The information is summarized below. Statistic Men Women Sample mean 24.07 21.55 Sample standard deviation 5 . 70 4 . 64 Sample size 36 39 At the .01 significance level, is there a difference in the mean number of times men and women order take-out dinners in a month? Required: a. State the null and alternate hypotheses. O Ho: HMen = HWomen H: HMen * HWomen O Ho: HMen # HWomen H1: HMen = IWomen O Ho: HMen # HWomen H1: HMen * HWomen b. Compute the test statistic. (Round your answer to 3 decimal places.) Test statistic c. Compute the p-value. NOTE: P-value calculators are available through online search. (Round your answer to 4 decimal places.) p-value