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 3.8 dollars. In a sample of 51 pairs of jeans at Frank's Fashion, he gets a sample mean of 71 dollars, and a sample standard deviation of 8.5 dollars. Assume population variances are unequal and use a significance level of 0.05. (a) What are the null and alternative hypotheses? Ho: H1 - 12 + = 4 HA: H1 - 12 + > 0 + (b) What is the test statistic? (Round your answer to 3 decimal places, if needed.) (c) Using the statistical table, the p-value is 0.005