Consider the following hypotheses:H0:μ≤36.9HA:μ>36.9A sample of 49 observations yields a sample mean of 38.1. Assume that the sample is drawn from a normal population with a known population standard deviation of 4.2.(a) Calculate the p-value. (Round "z" value to 2 decimal places.)(b) What is the conclusion if α=0.10?A. Do not reject H0 since the p-value is smaller than α.B. Do not reject H0 since the p-value is greater than α.C. Reject H0 since the p-value is smaller than α.D. Reject H0 since the p-value is greater than α.(c) Calculate the p-value if the above sample mean was based on a sample of 130 observations. (Round "z" value to 2 decimal places.)(d) What is the conclusion if α=0.10?A. Reject H0 since the p-value is smaller than α.B. Reject H0 since the p-value is greater than α.C. Do not reject H0 since the p-value is smaller than α.D. Do not reject H0 since the p-value is greater than α.