An issue of Time Style and Design reported on a poll conducted on the shopping habits of wealthy Americans. A total of 603 interviews were conducted among a national sample of adults with household...

An issue of Time Style and Design reported on a poll conducted on the shopping habits of wealthy Americans. A total of 603 interviews were conducted among a national sample of adults with household incomes of at least $150,000. Of the adults interviewed, 410 said they had purchased

clothing, accessories or books online in the past year. We want to understand the percentage of wealthy Americans who shop online. Do the data provide sufficient evidence to say that the majority (more than 50%) of wealthy Americans shop online at the 5% significance level?

a. What are n, x, n-x and ??̂?

b. State the null and alternative hypotheses.

c. What is the value for the test statistic z0?

d. Find the p-value.

e. Do the data support that (more than 50%) of wealthy Americans shop online?