Another question asked in the Gallup poll in Exercise 1 was: “Do you think that rich people in America today are happier than you, less happy, or about the same?” (Newport, 2012). Of the 1008 respondents, only 11% said “happier,” 27% said “less happy,” 57% said “about the same,” and the rest were “unsure.”
a. Find a 95% confidence interval for the pro-portion of the population who would have answered “less happy” if asked.
b. Convert the interval in part (a) into a 95% confidence interval for the percentage of the population who would have responded “less happy” if asked.
c. Write a few sentences interpreting the interval you found in part (b).