Suppose that we wish to assess whether more than 60 percent of all U.S. households in a particular income class bought life insurance last year. That is, we wish to assess whether p, the proportion of all U.S. households in the income class that bought life insurance last year, exceeds .60. Assume that an insurance survey is based on 1,000 randomly selected U.S. households in the income class and that 640 of these households bought life insurance last year.

a)Assuming that p equals .60 and the sample size is 1,000, what is the probability of observing a sample proportion that is at least .64?

b)Based on your answer in part a, do you think more than 60 percent of all U.S. households in the income class bought life insurance last year? Explain.

The scenario presented in the discussion involves testing a hypothesis. So, while answering the two questions try to follow the steps that are involved in testing a hypothesis as it will help in answering the questions. The steps are

1.State the hypothesis as a Null and Alternative hypothesis.

2.Choose the significance level.

3.Determine the probability distribution to use for the sample characteristic

4.Compute the probability for the sample based on that probability distribution

5.Based on the significance level chosen, decide whether we can reject or accept the Null hypothesis.