Should I Stay or Should I Go?

Sampling:

Our population of interest was students attending North Olmsted High School. We needed a large sample of students  in order to assure that our proportion tests would be valid and to try to procure the most accurate results possible. To obtain our sample, we accessed 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 went to the guidance office and looked through schedules to find the best period and teacher to contact each student in our sample. We then put the information we gathered on post it notes and put the post it notes on anonymous surveys to be delivered to the teachers. Mrs. Caso then distributed the surveys to the appropriate teacher’s mailboxes to be delivered to the students in our sample. From the returned surveys our sample size was cut down to 162.

Below is a copy of the survey we sent out:

Do you plan on moving out of Ohio within 10 years of graduating high school?

Please circle one:

Yes         No

 

Significance Test:

Assumptions:
1) The sample is random
2) n(π) ≥ 10 and n(1-π)≥ 10

π= True proportion of students who plan on moving out of Ohio within 10 years of graduating High School

Ho: π=50
Ha: π>50

We failed to reject the null hypothesis at the .05 level of significance since our P-Value of 0.846 is greater than alpha. Therefore, we have insufficient evidence to suggest that the true proportion of students 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.