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. a = 40%, b = 4% a = 41%, b = 3% a = 47%, b = 3% a = 41%, b = 19% survey on movie | | enjoyed | did not enjoy | total | | males | a | 11% | |

Explanation:

Step1: Calculate total number of people surveyed

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

Step2: Calculate the relative - frequency for \(a\) (males who enjoyed)

The number of males who enjoyed is 47. The relative - frequency \(a=\frac{47}{116}\times100\%\approx41\%\)

Step3: Calculate the relative - frequency for \(b\) (females who did not enjoy)

The number of females who did not enjoy is 3. The relative - frequency \(b = \frac{3}{116}\times100\%\approx3\%\)

Answer:

a = 41%, b = 3%