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% females 46% b

Explanation:

Step1: Calculate total number of people surveyed

Total number of males = $47 + 13=60$. Total number of females = $53 + 3 = 56$. Total number of people surveyed = $60+56 = 116$.

Step2: Calculate value of a

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

Step3: Calculate value of b

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

Answer:

a = 41%, b = 3%