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Problem 3 (20 pts). Imagine a study designed to test whether daughters resemble their fathers. In each trial of the study, a participant examines a photo of one girl and photos of two adult men, one of whom is girl's father. The participant must guess which man is the father. If there is no daughterfather resemblance, then the probability that the participant guesses correctly is only 1/2. Possiblemeaningful hypotheses are: H0: Participants pick the father correctly half the time H A: Participants pick the father correctly more frequently than half the time. (a) Assume that 13 out of 18 participants correctly guessed the father of the daughter. Test the null hypothesis H0: Calculate the P-value and compare it with the standard signicance level (or = 0.05). Will you reject H0? (b) Assume that 12 out of 18 were correct. Will you reject H0? (0) Assume that 12 x 2 = 24 out of 18 x 2 = 36 were correct. Will you reject H0? (d) How/why are your answers in (b) and (c) different? Caution: Examine carefully if this is a onesided or twosided test