A study was designed to compare two energy drink commercials. Each participant was shown the commercials in random order and asked to select the better one. Commercial A was selected by 54 out of 115 women and 83 out of 145 men. Construct a large-sample 95% confidence interval for this difference and report the lower bound to three decimal places.

(a)Construct a large-sample 95% confidence interval for this difference and report the lower bound to three decimal places.

(b) Test whether the proportions of women and men who liked Commercial A are the same versus the two-sided alternative at the 5% level. Report the p-value the three decimal places.

(c)Compute the margin of error forn1= 24 andn2= 24 forp1= 0.6,p2= 0.5. Use alpha = 0.05. Report your answer to two decimal places.