Question

The table below shows the movie preferences of high school and college students:

Movie Preference
ActionDramaComedyRow totals
High School 40 23 12 75
College 20 51 28 99
Column totals 60 74 40 174


Julie mistakenly calculated the conditional relative frequency for college students who like comedy as being 70%. What did Julie actually calculate, and what is the correct answer?

Answer 1

C. She calculated the conditional relative frequency for comedy films that are liked by college students. The correct answer is 28%.

Explanation:

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Answer 2

Options:

A. She calculated the joint relative frequency for college/comedy. The correct value of conditional relative frequency for college students who like comedy is 28%.

B. She calculated the conditional relative frequency for comedy films that are liked by college students. The correct value of conditional relative frequency for college students who like comedy is 16%.

C. She calculated the conditional relative frequency for comedy films that are liked by college students. The correct answer is 28%.

D. She calculated the joint relative frequency for college/comedy. The correct answer is 16%.

The answer is option C "She calculated the conditional relative frequency for comedy films that are liked by college students. The correct answer is 28%." You can tell because:

`28/99=28/percent`

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