as people exited a movie theater, they were informally surveyed about whether they enjoyed the movie or not…

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\n| | enjoyed | did not enjoy | total |\n|--|--|--|--|\n| males | a | 11% | |\n| females | 46% | b | |

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\n| | enjoyed | did not enjoy | total |\n|--|--|--|--|\n| males | a | 11% | |\n| females | 46% | b | |

Answer

Explanation:

Step1: Calculate total number of males

Total number of males = 47 + 13 = 60.

Step2: Calculate total number of people surveyed

Total number of people surveyed = 47+13 + 53+3=116.

Step3: Calculate value of a

a is the relative - frequency of males who enjoyed the movie. a=$\frac{47}{116}\times100%\approx41%$.

Step4: Calculate value of b

b is the relative - frequency of females who did not enjoy the movie. b = $\frac{3}{116}\times100%\approx3%$.

Answer:

a = 41%, b = 3%