Edward would like to test whether the average price of a pair of jeans at Pauline's Pants (group 1) is greater than the average price of a pair of jeans at Frank's Fashion (group 2). In a sample of 51 pairs of jeans at Pauline's Pants, he gets a sample mean of 77 dollars, and a sample standard deviation of 4.0 dollars. In a sample of 41 pairs of jeans at Frank's Fashion, he gets a sample mean of 71 dollars, and a sample standard deviation of 8.9 dollars. Assume population variances are unequal and use a significance level of 0.05. (a) What are the null and alternative hypotheses? H₀: H_A: (b) What is the test statistic? (Round your answer to 3 decimal places, if needed.) (c) Using the statistical table, the p-value is (d) Based on the p-value, Edward should reject or fail to reject the null hypothesis. (e) This data provides or does not provide sufficient evidence to conclude that the average price of a pair of jeans at Pauline's Pants is less than or greater than or different from the average price of a pair of jeans at Frank's Fashion.