In a study conducted for the Center for a New American Dream, Time magazine reports that 60% of Americans felt pressure to work too much, and 80% wished for more family time.7 Assume that these percentages are correct for all Americans, and that a random sample of 25 Americans is selected.
a. Use Table 1 in Appendix I to find the probability that more than 20 felt pressure to work too much.
b. Use the normal approximation to the binomial distribution to approximate the probability in part a. Compare your answer with the exact value from part a.
c. Use Table 1 in Appendix I to find the probability that between 15 and 20 (inclusive) wished for more family time.
d. Use the normal approximation to the binomial distribution to approximate the probability in part c. Compare your answer with the exact value from part c.