This investigation was to find the change in future aspiration of high school seniors in the US after 9/11. The suggestion was that the economic impact of the attack would cause fewer childten to have the means to enroll in college. However some where divided on the impact it would have on enlistment as wether it would increase due to patriotistic sentiment or decrease with them rise in probability of actual engagement. An unidentified polling organization arranged to a sample to see this change. From 5 cities in Upstate New York a random high school was collected. Then the guidance counselor of the high schools randomly selected 100 students. The purpose is evaluate the proportion of college bound seniors post 9/11. To determine the possibility of this 1-proportion z-score tests will be used. A 90% confidence interval means that the 90% of the intervals created using the formula p̂ ± Margin of Error will …show more content…
We must assume either that each student is independent of each other or that any dependence is minimal in perspective. The population of high school seniors in upstate New York is presumable ten times greater then the sample size of 500 people. We are told in the problem statement that the students were selected at random. Students answers mattered only as a success or failure in whether they planned to attend college or not. In addition, n p̂ >10 at 26 people and n q̂ >10 at 474 people. Because the conditions are satisfied, a Normal Model for the sampling distribution of the proportions will be used for a one-proportion z-test. This will be a two-tailed tests as we are attempting to determine if the proportion of students who enlist in the military is different then the 90’s .045. This is completed where n is 500, p̂ is .052, q̂ is .948 and p is