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 A 4-column table with 3 rows. The first column has no label with entries males, females, total. The second column is labeled enjoyed with entries a, 46%, blank. The third column is labeled did not enjoy with entries 11%, b, blank. The fourth column is labeled total with entries blank, blank 100%. 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%

Answer 1

The answer is B. a = 41%, b = 3%

Answer 2

(B) a = 41%, b = 3%

Explanation:

The result from the survey is given below:

`\left|\begin{array}c&Enjoy&$Did not Enjoy&$Total\\--&--&--&--\\Male&47&13&60\\Female&53&3&56\\Total&100&16&116\end{array}\right|`

The second table is given as:

`\left|\begin{array}c&Enjoy&$Did not Enjoy&$Total\\--&--&--&--\\Male&a&11\%&\\Female&46\%&b&\\Total&&&100\end{array}\right|`

Now, from the first table

Total Number of Respondents =116

Therefore:

`(47)/(116)*100 \approx 41\%\\(13)/(116)*100 \approx 11\%\\(53)/(116)*100 \approx 46\%\\(3)/(116)*100 \approx 3\%`

Therefore:

a=41%

b=3%

The correct option is B.