We wish to test if Lu is telling the truth about how this data was collected (did the data really come from ﬂipping a coin?).
(a) Find the MLEs of n and p under H0. Be sure to write out the hypotheses that you are testing. Using R to get numerical approximations is okay.
(b) Calculate the expected counts.
(c) Calculate the appropriate test statistic and state its distribution under H0.
(d) Calculate the p−value of this test and make you conclusions.