Question

Chapter 6, Review Exercises, Question E47 Your answer is partially correct. Try again. In the United States, 37% of women and 29% of men aged 25 to 29 have attained a bachelor's degree or higher. You take a random sample of 20 women and 20 men from your community. Round answers to 4 decimal places. a. What is the probability that more than half the women in the sample have attained a bachelor's degree? P = 1.03700 What assumptions are you making? || The women are selected randomly and independently, probability is 0.37 for each one. b. What is the probability that more than half the men in the sample have attained a bachelor's degree? P= 1.02900 What assumptions are you making? The men are selected randomly and independently, probability is 0.29 for each one. c. If instead of 20 women and 20 men, you take one sample of 40 people at random, what is the approximate probability that more than half of those sampled will have attained a bachelor's degree? P = .0270 What assumptions are you making? The proportion of all people with bachelor's degrees is the Caverage of the probabilities used in (a) and (b).

Answer 1

othen for each aromen to attain a bachelors degree is a succes. Each woman is independent of each Hences for each woment, this is success of attaining bennoille mal to get bachelor's degree. Therefore, a sample of 20 wor taken & x denotes the no. of ne bachelor's baning "success" of altaning bachela degree :: X~ Bin (20, 0:37) . We are to find out - @ P(x710) - (20) 2 (6.37)2 (1-0-37) 20-4 Yan C 20.92226 o y denotes the no. of men haning success of attaining bachelor's degree in a sample of 20 men. Yn Bin (20, 0.29) P (470) = 3 (28) (0:29) 9 (2004-29) = 0.9868 o Incase of considering a sample of 40 people in respective of sex, then the success prob of attaing bachelor's degree plattains bachelor's degree) plattains bachelor's degree he is a man)P (a man) tplattains bachelor's degree, she is a woman pa naman 2 0.29x1 + 0.34 € - 0.24 0.37 0.33 ..Z denotes the no. of success. In Ban (40,0.33) Hene, PC2720) (109) (32)2 (1-32,40-20.9916