For A Gallup poll taken in May 2000 asked the question, “Which of the following do you think is the primary cause of gun violence in America the availability of guns, the way parents raise their children, or the influences of popular culture such as movies, television, and the Internet?" Fifty-one percent of the n = 493 men and 38% of the n = 538 women sampled responded, “Way parents raise kids." Carry out all the steps of the appropriate hypothesis test to determine if there is sufficient evidence to conclude that a higher proportion of men than women in the population at that time thought “way parents raise kids" is the primary cause of gun violence in America. Use a significance level of 0.05.
a) ( 4 points) State the null and alternative hypothesis.
b) (8 points) Carry out the appropriate hypothesis test (you can use SAS) and report the test statistic and the p-value and your conclusion in the context of the problem.