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Question 7: Consider the hypothesis test Ho: 1 = p2 against the H1: 1 # uz. Suppose that sample sizes are n1 = 15 and n2 = 15, that the mean of 1 = 4.7 and the mean of 2 = 7.8 and that s12 = 4 and s22 = 6.25. Assume that o12 = 022 and that the data are drawn from normal distributions. Use a = 0.05. (a) Test the hypothesis and the find the p-value. (b) Explain how the test could be conducted with a confidence interval