k es 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 Sample mean Sample standard deviation Sample size Men 25.51 Women 22.28 5.58 32 4.98 34 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. Ho: HMen Women H1 HMen # HWomen 0 Ho: HMen Women H1: HMen Women O Ho: #Men #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