Statistiscal Analysis

In our experiment, we will determine whether there is an association between gender and gullibility. To assist us in answering our question, we will place one hand on our shoulders and then ask our subjects to touch their elbow. The responses of our subjects will be categorized as either "fell for it" or "didn't fall for it." To collect our data, we will use Glen A. Wilson High School students as our population. We will block by gender and use systematic sampling (to make sure both groups are equally represented) to obtain our independent random samples of 30 males and 30 females from our population of interest (students at Glen A. Wilson High School). Since I have access to the school's student directory that identifies the student's sex, birth date, address, etc., we can use this list to our advantage by dividing the school into two groups - male and female. Once we get a total number of students from each sex, we will assign the students each a number from 1 to x, with x being the total number of students from that sex. We will then use a random number generator (in this case, our TI-84) to pick 30 random digits from the sample of girls and match it with the number's corresponding student. Afterwards, we will repeat this process for males, generating 30 random digits and matching it with its corresponding student. Afterwards, we will identify and find as many of these students as we can and then survey them. For the ones we fail to identify and/or find, we will call their home number and ask them to meet us at an area at the beginning of our lunch for a quick survey.

In our project, we will answer the question "Is there an association between gender and gullibility?" To decide, we will conduct a chi-squared homogeneity of proportions test. Our null hypothesis is that the gullibility among teens is the same, while our alternative hypothesis is that the gullibility among teens isn't the same. To be safe, we won't accept a claim unless we are 95% or more certain. As a result, our significance level will be set at .05. Our degrees of freedom will be (2-1)(2-1), or 1.

Expected counts:

Male Female Total

Didn't fall for it 15 15

Fell for it 15 15

Total 30 30 60

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