Question: When do Americans decide what to make for dinner? An online survey (N. Hellmich, Americans Go for the Quick Fix for Dinner, USA Today, February 14, 2005, p. 1B) indicated that 74% of Americans decided either at the last minute or that day. Suppose that the survey was based on 500 respondents.
a. Construct a 95% confidence interval for the proportion of Americans who decided what to make for dinner either at the last minute or that day.
b. Construct a 99% confidence interval for the proportion of Americans who decided what to make for dinner either at the last minute or that day.
c. Which interval is wider? Explain why this is true.