Gallup recently conducted a survey about the proportion ofAmericans who use e-cigarettes (vape). The survey data wascollected via random-digit-dial telephone interviews conducted July1-12, 2019 with a random sample of 1525 adults living in all 50U.S. states with a minimum quota of 70% cellphone respondents and30% landline respondents, with additional minimum quotas by timezone within region. The following table summarizes their resultsfor men and women: Men Women Total Vape 92 31 123 Do Not Vape 924478 1402 Total 1016 509 1525 Problem 2. Does the data suggest thata greater proportion of men vape compared to women? Conduct ahypothesis test to at the 5% significance level by completing thefollowing steps: State the null and alternative hypotheses. Be sureto include proper statistical notation. Check the conditions forinference. Compute the test statistic. For full credit, be sure toshow your work. Determine the p-value or the critical value(depending on the method you prefer). Either way, be sure to showyour work by drawing a sketch. Using either the p-value or criticalvalue method, make a decision about the null hypothesis. Be sure toshow how your decision was made. Based on the results of thehypothesis test, does it appear that “use of e-cigarettes” and“gender” are independent variables? In other words, is it equallylikely for a man to vape as it is for a woman to vape? Explain.Would the results of the hypothesis test change at the 1%significance level? Explain.
