High school and college students were surveyed to choose a favorite movie genre: action, drama, or comedy. 34.5% of the students in the survey chose action, and 56.9% of the students in the survey were college students. From the sample, it is found that 23% were high school students who chose action, and 13.2% were high school students who chose drama. 29.3% were college students who chose drama, and 16.1% were college students who chose comedy.

Which of the following is a correct two-way relative frequency table for the data?

Question

High school and college students were surveyed to choose a favorite movie genre: action, drama, or comedy. 34.5% of the students in the survey chose action, and 56.9% of the students in the survey were college students. From the sample, it is found that 23% were high school students who chose action, and 13.2% were high school students who chose drama. 29.3% were college students who chose drama, and 16.1% were college students who chose comedy.

Which of the following is a correct two-way relative frequency table for the data?

slutcam · Answer

We can group the data by movie kind (action, drama, comedy) and student type (high school, college) and then compute the relative frequencies for each combination to build a two-way relative frequency table. The table should resemble the following: | Action | Drama | Comedy | Total

High School |? |? |? |?

College |? |? |? |?

Total | ? | ? | ? | 100% ''' The table needs to be filled out using the available data. Calculate the following values: 1. Of all pupils, 34.5% elected to take action. 2. 56.9% of all college students 3. 23% of high school students chose to take action. 4. Drama majors in high school: 13.2% 5. Dramatic majors in college: 29.3% 16.1% of college students chose humor. Let's now compute each of the values in the table individually: - High school students who made the decision to take action: (100% - 56.9%)/(Total high school pupils) * 34.5% = 43.1% Students who elected to take action in college: (Total college students) * (Percentage who chose to take action) = 56.9% * 34.5% = 19.6% - High schoolers who selected comedy: (All high schoolers) * (Proportion of respondents that selected humor) = (100% - 56.9%) * (100% - 34.5%) = 25.1% - The percentage of college students that chose humor was 56.9% * 16.1% * 9.2% (Total college students) Now that the table is complete: A total of: | Action | Drama | Comedy

Secondary school: 19.6%, 13.2%, 25.1%, and 100%

college enrollment: 43.1%, 29.3%, 9.2%, and 100%

Secondary school: 19.6%, 13.2%, 25.1%, and 100%

college enrollment: 43.1%, 29.3%, 9.2%, and 100%

Total | 62.7% | 42.5% | 34.3% | 100%

Adigirl29 · Answer

tysm I was so confused with that