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# Three worked through solutions for statistics students

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Suppose you have drawn a sample of size 200 from a college and, for each student, recorded the gender of the student, and how interested the student was in watching sports on television on a 1-7 scale (1: not interested at all, 7: very interested). The results are summarized as the following cross-tabulation:

Interest
Gender 1 2 3 4 5 6 7
Female 7 28 25 30 8 12 10
Male 4 4 2 10 12 18 30

Interest
Gender 1 2 3 4 5 6 7
Female 7 28 25 30 8 12 10
Male 4 4 2 10 12 18 30

Define a student as "interested" if her/his interest in watching sports on television is 5, 6, or
7 on the 1-7 scale.

3.(a) Let p denote the proportion of the overall sample who are "interested." What is p?

3.(b) Let p1 denote the proportion of the male students in the sample who are "interested."
What is p1?

3.(c) Let p2 denote the proportion of the female students in the sample who are "interested."
What is p2?

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#### Solution Preview

Here is an explanation for your proportion questions.

a) To find the proportion of interested individuals, you need to add up all people that fell into the 5, 6, or 7 interest category and divide by the total number of individuals.

The number of interested women = 8 + 12 + 10
...

#### Solution Summary

Completed, step-by-step solutions for three specific statistics problems are provided in the response.

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