The conditional relative frequency table was generated using data that compares the number of voters in the last election and whether or not they worked on election day. Fifty people who voted and 85 people who did not vote were chosen at random and surveyed.

\begin{tabular}{|c|c|c|c|}
\hline & Did Vote & Did Not Vote & Total \\
\hline Did Work & 0.64 & 0.4 & 0.49 \\
\hline Did Not Work & 0.36 & 0.6 & 0.51 \\
\hline Total & 1.0 & 1.0 & 1.0 \\
\hline
\end{tabular}

How many people in the survey worked on election day?

A. 32

B. 34

C. 66

D. 69



Answer :

Let's solve this problem step by step to find out how many people in the survey worked on election day.

1. Determine the total number of people surveyed:
- From the problem, we are told that 50 people who voted and 85 people who did not vote were surveyed.
- Adding these two groups together, we get:
[tex]\[ \text{Total surveyed} = 50 + 85 = 135 \][/tex]

2. Understand the proportion who worked on election day:
- According to the table provided, the proportion of people who worked on election day is given as 0.49 (49%).

3. Calculate the actual number of people who worked on election day:
- We need to find 49% of the total number of people surveyed.
- This can be calculated by multiplying the total number of people surveyed (135) by the proportion who worked on election day (0.49):
[tex]\[ \text{Number who worked on election day} = 135 \times 0.49 \][/tex]

4. Perform the multiplication:
- When you multiply 135 by 0.49, you get:
[tex]\[ 135 \times 0.49 = 66.15 \][/tex]

5. Interpret the result:
- Since we are dealing with the number of people, the result should be a whole number. Therefore, we round 66.15 to the nearest whole number, which is:
[tex]\[ 66 \][/tex]

Final Answer:
The number of people in the survey who worked on election day is 66. Thus, the correct choice is:
```
66
```