Question

Q4) A pilot study in Fair weather County wishes to determine whether mailing reminders to register to vote to all citizens in the county who are eligible will improve voter registration numbers. A random sample of 1500 potential voters was taken. Then this sample was randomly divided into two groups. Group 1 consisted of 750 people. Reminders were sent in the mail to each member in the group. The number from this group who registered was 405. Group 2 consisted of 750 people. No reminders to register were sent to them. The number of potential voters from this group who registered was 375. Let 1p be the proportion of voters who registered in group 1, and let p2 be the proportion registered from group 2. Test using a 5% level of significance to see whether the claim that the proportion of potential voters who registered was greater in group 2.

Answer 1