Question

A random sample of adults were asked about their education level and favorite leisure activity. The...

A random sample of adults were asked about their education level and favorite leisure activity. The results are recorded in the table below:

Favorite Leisure Activity
Education Level Outdoors Games Other Total
High School 17 25 32 74
College 28 38 14 80
Graduate School 31 16 23 70
Total 76 79 69 224
  1. Find the marginal distribution (in percents) for favorite leisure activity.
  2. Find the conditional distribution (in percents) of education level given that games were the favorite leisure activity.
  3. What percent of those with a graduate degree said that games were their favorite leisure activity?
  4. What percent of those that enjoyed some other leisure activity had attended college?
  5. What percent of all adults surveyed were high school graduates that said spending time outside was their favorite leisure activity?

Homework Answers

Answer #1

1) marginal

Education Level Outdoors Games Other Total
High School 7.59% 11.16% 14.29% 33.04%
College 12.50% 16.96% 6.25% 35.71%
Graduate School 13.84% 7.14% 10.27% 31.25%
Total 33.93% 35.27% 30.80% 100.00%

2)

conditional

Education Level Games
High School 31.65%
College 48.10%
Graduate School 20.25%
Total 100.00%

3)

percent of those with a graduate degree said that games were their favorite leisure activity=16/70 = 22.86%

4) percent of those that enjoyed some other leisure activity had attended college = 14/224=6.25%

5) percent of all adults surveyed were high school graduates that said spending time outside was their favorite leisure activity=17/74 =  22.97%

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