Study
Population of Interest
For my study I used the population of North Olmsted High School. All grades in the school were included. However, no teachers were included in this study, only students. Both genders and all races were used.
Sampling Method
First to conduct the study, I obtained all of the names of the students at the school. All four grades (freshman, sophomore, junior, and senior) were included in this study. Once the list was obtained, the names were inserted into minitab. Then I used minitab to produce 80 students randomly from the list to survey. The survey was sent out to the 80 students (male and female; all races). The survey asked two questions: 1. How many hours a week do you spend watching sports?; 2. What is your favorite method to watching sports? It also asked to specify your gender.
Gender: M F
1. About how
many hours per week do you spend watching sports?
A.
0-2
hours
B.
3-4
hours
C.
5-6
hours
D.
7 or
more
2. What method
do you most frequently watch sports by?
A.
Television
B.
Internet (Any Device)
C.
Live
Testing and Results
I conducted a two sample T-test for the data collected from this survey. This allowed me to set both of my sample means equal to eachother as my null hypothesis and then have my alternative as the sample mean for males as greater than females. By conducting this two sample T-test, I can conclude that mean value for males is greater than females.
µ1: The true mean value of number of hours males watch sports per week
µ2: The true mean value of number of hours females watch sports per week
Ho: µ1=µ2
Ha: µ1>µ2
a: 0.05
Assumptions: We assume normality in both of our samples. When checked for normality using normality plots, they seemed to be mostly normal with the exception of two outliars in each of our samples. So we assume normality without the outliars. Also we must assume that these two samples are independent, which was accomplished during our sampling.
t=-2.56 @29 DF
P-value=.008
Conclustion: We reject the null hypothesis at any reasonable level of significance because our p-value of 0.008 is less than our lowest alpha value of 0.01. Therefore we have sufficient evidence to say that the true mean number of hours that males watch sports per week is greater than the true mean number of hours that females watch sports per week.