Question

Make a decision about the given claim. Do not use any formal procedures and exact calculations. Use only the rare event rule. Claim: A coin favors heads when tossed, and there are 15 heads in 28 tosses. Which of the following is correct? O A. There is not sufficient evidence to support the claim because there are substantially more heads than tails. OB. There does appear to be sufficient evidence to support the claim because there are not substantially more heads than tails. OC. There does appear to be sufficient evidence to support the claim because there are substantially more heads than tails. OD. There is not sufficient evidence to support the claim because there are not substantially more heads than tails.

Answer 1

Let p= p(head) = 0.5, n = 28 and = = = 0.5357 n 28 0 Hence,z= p- p p(1-P) .5357-0.5 (0.5)(0.5) = 0.38 28 The required probability is p(2>0.38) =1-p(z 50.38) =1-0.6480, by standard normal table = 0.3520 >0.05 This is not unusual Answer :D