The Study
Sampling
Our sample size was a random sample of 120 North Olmsted High School students. We acquired a list of North Olmsted High School students. Our population was all students at North Olmsted High School. The list of student names was placed into Minitab and a random sample of 120 was determined. After this, we looked up schedules and sent out surveys to a convenient period. A few students were unable to be included due to scheduling conflicts. Of the 120 surveys we sent out, we received 91 back, so this was our sample.
Survey
Circle your answers:
What is your gender?
Male Female
Do you have an iPhone?
Yes No
Significance Test
1) p1= the true proportion of female students at North Olmsted High School who own an iPhone.
2) p2= the true proportion of male students at North Olmsted High School who own an iPhone.
3) H0: p1=p2
4) Ha: p1>p2
5) α= 0.05
6)
7) Assumptions:
1) The samples are representative of the population of North Olmsted High School students, so it is reasonable to treat them as independent random samples of the population of North Olmsted High School students.
2) n1p1= 91(0.538) = 49, n1(1−p1)= 91(0.462)= 42
n2p2= 91(0.462) = 42, n2(1−p2)= 91(0.538)= 49 are all ≥ 10, so the sample is large enough.
8) Z= 1.0377
9) P-value= 0.1497
10) We fail to reject the null hypothesis at the 0.05 level of significance.
