Question: Answer the given questions as per the requirements:
a. According to the 1990 U.S. Census, about 30% of people aged 25 to 44 live alone. In a random sample of 40 people aged 25 to 44, would it be plausible to get 20 who live alone?
b. We select a random sample of size 40 and get a sample proportion of 0.90 successes. Is this sample proportion plausible if the population has 75% successes?
c. According to the 1990 U.S. Census, about 80% of men aged 20 to 24 have never been married. In a random sample of 40 men aged 20 to 24, how many unmarried men is it plausible to get? What proportion of unmarried men is it plausible to get?
d. Suppose you flip a coin 40 times; how many heads is it plausible for you to get?
e. In the 1992 presidential election, Bill Clinton got 43% of the vote. In a random sample of 40 voters, what is the largest proportion of people who voted for Clinton that it is plausible to get? the smallest?