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%

A)The conditional relative frequency among widowed employees of those widowed working at grade 2 or below= 28/42 = 66.67%

Step-by-step explanation:

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=

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

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