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 error that accompanies 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 percentage to create a 95% confidence interval. (Note that it's equivalent to a margin of error of 045 for a confidence interval for the population proportion.)

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.

Show formulas used, show values inserted into your formulas, and show all calculations; Explain and interpret each finding with a minimum of two complete sentences.