1: Can the normal approximation method be used to construct a confidence interval for p, the proportion of all polygraph tests that result in false positives? Explain. Q2: Regardless of your answer to question #1, use the "normal approximation" formula to construct a 90% confidence interval for the proportion of all polygraph tests that result in false positives. Show all work! Write confidence interval in proper syntax, rounding each bound to four decimal places. Interpret the confidence interval in the context of the problem. Q3: Construct a 99% confidence interval for the difference in population proportion listening to music at a high volume setting between boys and girls (p(boys) - p(girls)). Show all work! Write the confidence interval in proper syntax, rounding both bounds to four decimal places. Interpret the confidence interval in the context of the problem. (From the Learning Path 20 worksheet, p _(boys) = 0.5196 and p _(girls) = 0.4425.)