In a study about the relationship between marital status and job level, 8,235 males at a large manufacturing firm reported their job grade (from 1 to 4, with 4 being the highest) and their marital status. This two-way table shows the results:

Job Grade Single Married Divorced Widowed Total
1 58 874 15 8 955
2 222 3,927 10 20 4,239
3 50 2,396 34 10 2,490
4 7 533 7 4 551
Total 337 7,730 126 42 8,235

What's the conditional relative frequency among widowed employees of those widowed working at grade 2 or below?

A. 28/42 = 66.67%
B. 34/42 = 80.95%
C. 20/42 = 47.62%
D. 42/4239 = 0.1%

In a two way frequency table, conditional relative frequency is it’s a fraction that tells us how many elements of of a group have a certain characteristic.

Here In a study about the relationship between marital status and job level, 8,235 males at a large manufacturing firm reported their job grade (from 1 to 4, with 4 being the highest) and their marital status.

from the given two way frequency table,

Number of widowed employees at grade 1 =8

Number of widowed employees at grade 2=20

∴ Number of widowed employees at grade 2 or below=8+20=28

And the total widowed employees working =42

Now the conditional relative frequency among widowed employees of those widowed working at grade 2 or below=[tex]\frac{\text{Number of widowed employees at grade 2 or below}}{\text{Total widowed employees}}=\frac{28}{42}=0.6667=66.67%[/tex]

Therefore, the conditional relative frequency among widowed employees of those widowed working at grade 2 or below= 28/42 = 66.67%