Suppose a sample of 49 paired differences that have been randomly selected from a normally distributed population of paired differences yields a sample mean of d = 4.6 and a sample standard deviation of Sa = 7.6. (a) Calculate a 95 percent confidence interval for Ha = H1 - H2. (Round your answers to 2 decimal places.) Confidence interval = 1 ; (b) Test the null hypothesis Ho: Ho= 0 versus the alternative hypothesis Ha: Mo # 0 by setting a equal to .10, .05, .01, and .001. How much evidence is there that yo differs from 0? t = Reject HO at a equal to evidence that u1 differs from 2. (c) The p-value for testing Ho: Ha 3 equals 0.0735. Use the p-value to test these hypotheses with a equal to .10, .05 .01, and .001. How much evidence is there that Ha exceeds 3? What does this say about the size of the difference between M, and /2? (Round your p-value answer to 4 decimal places.) p = Reject HO at a equal to evidence that u1 and u2 differ by more than 3