A survey of 800 members of a club asked the following questions: Check the box if the answer is "yes".
I watched a movie at a theater in the past month.
I watched a rented movie at home in the past month.
If 185 respondents checked the first box, what percent of the respondents watched a movie at a theater in the past month?
If 330 respondents checked the second box, what percent of the respondents watched a rented movie at home in the past month?
If 65 checked both boxes, what percent of the respondents watched movies both in a theater and at home?
What percent of the members watched a movie in a theater or at home in the past month?
Round your answers to the nearest tenth of a percent. Select the correct answer.
A) 41.3% watched a movie in a theater 23.1% watched a movie at home
8.1% watched a movie at home and in a theater
56.3% watched a movie at home or a theater
B) 76.9% watched a movie in a theater 58.8% watched a movie at home
91.9% watched a movie at home and in a theater
43.8% watched a movie at home or a theater
C) 23.1% watched a movie in a theater 41.3% watched a movie at home
8.1% watched a movie at home and in a theater
56.3% watched a movie at home or a theater
D) 23.1% watched a movie in a theater 41.3% watched a movie at home
8.1% watched a movie at home and in a theater
72.5% watched a movie at home or a theater
E) 23.1% watched a movie in a theater 41.3% watched a movie at home
91.9% watched a movie at home and in a theater
43.8% watched a movie at home or a theater

Question

Quizplus · Accepted Answer

To find the percent of respondents who watched a movie at a theater in the past month, divide the number of respondents who checked the first box by the total number of respondents and multiply by 100:

185/800 * 100 = 23.1%

To find the percent of respondents who watched a rented movie at home in the past month, divide the number of respondents who checked the second box by the total number of respondents and multiply by 100:

330/800 * 100 = 41.3%

To find the percent of respondents who watched movies both in a theater and at home, divide the number of respondents who checked both boxes by the total number of respondents and multiply by 100:

65/800 * 100 = 8.1%

To find the percent of respondents who watched a movie in a theater or at home in the past month, add the number of respondents who checked either box (but not both) and the number of respondents who checked both boxes, and divide by the total number of respondents, then multiply by 100:

((185-65) + (330-65) + 65)/800 * 100 = 56.3%

Therefore, Choice C is the correct choice.

A Survey of 800 Members of a Club Asked the Following