Suppose we suspect a coin is not fair — we suspect that it haslarger chance of getting tails than heads, so we want to conduct ahypothesis testing to investigate this question.
a: Let p be the chance of getting heads, write down thealternative hypothesis Ha and the null hypothesis H0 in terms ofp.
b: In order to investigate this question, we flip the coin 100times and record the observation. Suppose we use T = the number ofheads as our test statistic, consider two potential rejectionregions, 1. T ? 80 2. T ? 20 Which rejection region will help usreject H0 in favor of Ha?
c: Consider different cases where we observe T = 10, T = 90 andT = 50, what will be our corresponding conclusions given the choiceof RR we made in part b?
