Question: A telephone poll reported in Time magazine (6 February 1995, p. 24) asked 359 adult Americans the question, "Do you think Congress should maintain or repeal last year's ban on several types of assault weapons?" Seventy-five percent responded "maintain."
a. Compute the standard deviation for the sample proportion of .75.
b. Time reported that the "sampling error is ±4.5%." Verify that ±4.5% is approximately what would be added and subtracted to the sample proportion to create a 95% confidence interval.
c. Use the information reported by Time to create a 95% confidence interval for the population proportion. Interpret the interval in words that would be understood by someone with no training in statistics. Be sure to specify the population to which it applies.