Question

as people exited a movie theater, they were informally surveyed about whether they enjoyed the movie or not. males: enjoyed: 47, did not enjoy: 13. females: enjoyed: 53, did not enjoy: 3. what are the values of a and b in the relative frequency table for the survey results? round answers to the nearest percent. survey on movie: | | enjoyed | did not enjoy | total | | males | a | 11% | | | females | 46% | b | |

Explanation:

Step1: Calculate total number of people surveyed

Total number of people = \(47 + 13+53 + 3=116\)

Step2: Calculate value of a

a is the relative - frequency of males who enjoyed the movie. Relative frequency \(=\frac{\text{Number of males who enjoyed}}{\text{Total number of people}}\times100\%\). So \(a=\frac{47}{116}\times100\%\approx41\%\)

Step3: Calculate value of b

b is the relative - frequency of females who did not enjoy the movie. Relative frequency \(=\frac{\text{Number of females who did not enjoy}}{\text{Total number of people}}\times100\%\). So \(b = \frac{3}{116}\times100\%\approx3\%\)

Answer:

a = 41%, b = 3%