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%?