Question

the table below shows the relative frequencies for the part-time and full-time employees at companies A and B. What percentage of employees at company A are full-time employees?


Employees a Companies A and B

Part-time Full-time Total
Company A 0.07 0.35 0.42
Company B 0.08 0.50 0.58
Total 0.15 0.85 1.00

a. 83%
b. 41%
c. 85%
d. 35%

Answer 1

To find the percentage of employees at Company A that are full-time employees, we need to look at the relative frequencies given.

The full-time relative frequency for Company A is 0.35, and the total relative frequency for Company A is 0.42. We can calculate the percentage of full-time employees at Company A using the formula:

\[
\text{Percentage of full-time employees} = \frac{\text{Full-time relative frequency}}{\text{Total relative frequency}} \times 100
\]

Substituting the relevant values:

\[
\text{Percentage of full-time employees} = \frac{0.35}{0.42} \times 100
\]

Now calculating it:

\[
\text{Percentage of full-time employees} = \frac{0.35}{0.42} \approx 0.8333
\]
\[
0.8333 \times 100 \approx 83.33\%
\]

Therefore, approximately 83% of employees at Company A are full-time employees.

The answer is **a. 83%**.