Sampling
I began my sampling by retrieving a list of every student enrolled in North Olmsted High School. Then out of 1292 students, I sampled 75. The 75 samples were randomly generated by Minitab after I put the list of all the students in the program. My sample included students who may not be at this school all the time, such as polaris students, post secondary students, or OMB students. In those case, I try to reach them before they leave. Futhermore, I took in account that not all students would understand what affiliation means, so I changed the wording to "involve". My population of interest is the students in North Olmsted High School. Out of the 75 samples that I sent out, only 58 responded.
The survey is as below...
Circle one
1. Are you involved in a religion?
Yes No
Significance Test
I chose a 1 proportion Z test because I only wanted to see the proportion of students in NOHS who are not religiously affiliated.
1. p=The proportion of students who have no religious affiliation
2. Ho: p=0.5
3. Ha: p<0.5
4. α=0.05
5.
6. Simple random sample. The sample size is much smaller than the population, 58/1292=0.045 less than 10% of population. np>10=58(.5)=29>10, n(1-p)>10=(58)(.5)=29>10, the sample size is large enough so I can assume normality with the central limit theorm.
7. z= -2.1009
8.
Variable X N Sample p Bound P-Value
Involvment 21 58 0.362069 0.478095 0.024
9.We reject the null hypothesis because the P-value is smaller than alpha.
