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% and in the table it has that 46% of the females enjoyed the movie and 11% of males did not enjoy the movie PLEASE HELP ME I NEED THE ANSWER AS SOON AS POSSIBLE IM TAKING THE UNIT TEST RIGHT NOW

Answer 1

Create a table for given data:

$\begin{array}{cccc} & \text{Enjoed} & \text{Didn't enjoy} & \text{Total} \\ \text{Males} & 47 & 13 & 60 \\ \text{Females} & 53 & 3 & 56 \\ \text{Total} & 100 & 16 & 116 \end{array}$

Count relative frequencies:

$n_{\text{males enjoyed}}=\dfrac{47}{116}\approx 0.41,\\ \\ n_{\text{males didn't enjoy}}=\dfrac{13}{116}\approx 0.11,\\ \\ n_{\text{females enjoyed}}=\dfrac{53}{116}\approx 0.46,\\ \\ n_{\text{females didn't enjoy}}=\dfrac{3}{116}\approx 0.03.$.

The frequency table is:

$\begin{array}{cccc} & \text{Enjoed} & \text{Didn't enjoy} & \text{Total} \\ \text{Males} & 0.41 & 0.11 & 0.52 \\ \text{Females} & 0.46 & 0.03 & 0.49 \\ \text{Total} & 0.87 & 0.14 & \approx 1 \end{array}$.

In the table it has that 46% of the females enjoyed the movie and 11% of males did not enjoy the movie, then a=0.41 (41%) and b=0.03 (3%).

Answer: correct choice is B: a=41%, b=3%.

Answer 2

The answer is B. a = 41%, b = 3% on edg :)