Problem 2 (20 pts). Hypothesis testing - Imagine a studydesigned to test whether daughters resemble their fathers. In eachtrial of the study, a participant examines a photo of one girl andphotos of two adult men, one of whom is girl's father. Theparticipant must guess is the father. If there is nodaughter-father resemblance, then the probability that theparticipant guesses correctly is only 1/2. Possible-meaningfulhypotheses are: Ho: Participants pick the father correctly half thetime HA: Participants pick the father correctly more frequentlythan half the time. (a) Assume that 13 out of 18 participantscorrectly guessed the father of the daughter. Test the nullhypothesis Ho. Calculate the P-value and compare it with thestandard significance level (a = 0.05). Will you reject Ho? (b)Assume that 12 out of 18 were correct. Will you reject Ho? (C)Assume that 12 x 2 = 24 out of 18 x 2 = 36 were correct. Will youreject Ho? (d) How/why are your answers in (b) and (c) different?Caution: Examine carefully if this is a one-sided or two-sidedtest.
