Question

a research group surveyed 150 students. the students were asked how often they go to the movies and whether they prefer action movies or dramas. their responses are summarized in the following table.

	twice a month or less	three times a month or more
drama	37	44

(a) what percentage of the students go to the movies twice a month or less?
(b) what percentage of the students prefer action movies?

Explanation:

Step1: Calculate total number of students

The total number of students surveyed is 150.

Step2: Calculate number of students who go to movies twice a month or less

The number of students who go to movies twice a month or less is \(48 + 37=85\).

Step3: Calculate percentage for part (a)

The percentage of students who go to movies twice a month or less is \(\frac{85}{150}\times100=\frac{8500}{150}=\frac{170}{3}\approx56.67\%\)

Step4: Calculate number of students who prefer action - movies

The number of students who prefer action - movies is \(48 + 21 = 69\).

Step5: Calculate percentage for part (b)

The percentage of students who prefer action - movies is \(\frac{69}{150}\times100=\frac{6900}{150}=46\%\)

Answer:

(a) \(56.67\%\)
(b) \(46\%\)