In an ABC News poll conducted between January 21 and 26, 2000, a random sample of n = 1006 adult Americans was asked, "Compared to buying things by mail order or in a store, do you think that buying things over the Internet poses more of a threat to your personal privacy, less of a threat, or about the same?" (https://www.pollingreport.com/ computer.htm, September 17, 2002). The percentages that selected each response were
More of a threat: 40%
Less of a threat: 7%
About the same: 47%
No opinion: 6%
a. What is the margin of error for this poll? Give your answer as both a proportion and a percentage.
b. What is a conservative 95% confidence interval for the population proportion that would have responded, "More of a threat?" Give your answer for the population percentage as well.
c. Write a sentence or two interpreting the interval that you found in part (b). d. Based on the interval you found in part (b), could you conclude that in January 2000 fewer than half of all adult Americans perceived Internet shopping as posing more of a threat than buying things by mail order or in a store? Explain.