Let p be a population proportion. Consider the problem of testing H0 : p ≥ 0.4 based on a simple random sample of size n.(a) State the test statistic and its approximate distribution when p = 0.4 and n large enough.(b) State the rule for rejecting H0 at significance level 1% and compute its power function.(c) What is the smallest n such that the power is at least 70% when p = 0.35?(d) What is the p-value if the observed value of the sample proportion is 36% and n = 100? Is H0 rejected at significance level 1%?
