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Statement of the Problem:

Our study is focused on finding if the true proportion of students at North Olmsted High School who plan on moving out of Ohio within ten years of graduating high school is greater than the true proportion of students who plan to live in state. Many different factors are taken into account when deciding where to live, and since the end of the school year is approaching, and many of our peers are beginning to look into colleges and planning their futures, we were interested in conducting this study to find out where students’ interests lay.

 

Abstract:

Through this study, we wanted to determine if the proportion of students at North Olmsted High School who plan on moving out of Ohio within ten years of graduating high school is greater than the proportion of students who plan to live in state.  We obtained a list of 200 students attending North Olmsted High School and entered their names into Minitab. We then use the calc random data function to collect a randomized sample from the columns. We printed out 200 surveys asking, "Do you plan on moving out of Ohio within 10 years of graduating from high school?" To keep our survey simple, we only gave two answer options: ‘Yes’ or ‘No’, and students were asked to circle one. After distributing the surveys to the students and their respective study halls, we received 162 responses back, as many students attended PSEOP classes or Polaris, and were unable to take the survey. We then entered the results into Minitab as ‘Y’ is a student responded ‘Yes’ and ‘N’ if a student responded ‘No’. Since our null hypothesis was that the true proportion of students who plan to move out of Ohio is equal to that of those who plan to stay,or π=50, we made the alternative hypothesis the true proportion of students who plan to move is greater than 50, or  π>50. We then ran a 1-propZ test on our data, using a .05 level of significance, and found our P-Value to be 0.846. Thus, we failed to reject our null hypothesis, since our P-Value was greater than our alpha. Therefore, we concluded that there was  insufficient evidence to suggest that the true proportion of students at North Olmsted High School who plan to stay living in Ohio within ten years of graduating high school is greater than the true proportion of students who plan to move out of state.