1. [-/4.08 Points] DETAILS BBUNDERSTAT12 8.1.011.MI. MY NOTES ASK YOUR TEACHER Suppose you want to test the claim that a population mean equals 38. a) State the null hypothesis. O Ha: H > 38 OHOH 38 OH: H 38 OHj: H 38 OHjin 85; H1: M = 85; right-tailed O Ho: H = 85; H,: # # 85; two-tailed O Ho: 1 = 85; H,: M > 85; right-talled (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The Student's t, since we assume that x has a normal distribution with known a. O The Student's t, since n is large with unknown a. O The standard norr that x has a normal distribution with unknown a. O The standard norm tribution with known a. Compute the z value of the sample test statistic. (Round your answer to two decimal places.) (c) Find (or estimate) the P-value. (Round your answer to four decimal places.) Sketch the sampling distribution and show the area corresponding to the P-value. O-3 -2 -1 0 1 2 3 10-3 -2 -1 0