The Study

Sampling
For our study, we surveyed a sample size of 80 randomly selected students from the entire student population of North Olmsted High School. The students were randomly selected by a random number generator in the Minitab program.We created a survey that asked participants whether they were male or female, preferred dogs or cats, if the person in question owns a pet, if so, what kind of pet, and how many pets.

(Below is a text replica of the survey formed that we utilized)
                                                                                                               MWPS
                                               Survey
(Please check an “X” in the box of the choice that best describes you)
Gender: □  Male    □  Female
If you own a pet, what kind?---_________________________________
How many?_______________________________________________
Preference:   □  Dog Person     □    Cat Person
(Regardless of what you actually have)

Significance Test
H₀: There is no association between gender and preferred pet.
H_a: There is an association between gender and preffered pet.

α = 0.05
Assumptions: Our sample size is large enough because all expected cell counts are 5 or more. The chi-squared can be used because we used independent random samples in our study.

Tabulated statistics: GENDER, ANIMAL  Rows: GENDER   Columns: ANIMAL            C      D    All F         10     26     36         8.73  27.27  36.00 M          6     24     30         7.27  22.73  30.00 All       16     50     66        16.00  50.00  66.00 Cell Contents:      Count                     Expected count Pearson Chi-Square = 0.539, DF = 1, P-Value = 0.463 Likelihood Ratio Chi-Square = 0.544, DF = 1, P-Value = 0.461

Conclusion: We failed to reject the null hypothesis at the 0.05 level of significance because the p-value > α. Therefore, there is not sufficient evidence to say that there is a correlation between gender and pet preference.