151k views
2 votes
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%

1 Answer

2 votes

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


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=
\frac{\text{Number of widowed employees at grade 2 or below}}{\text{Total widowed employees}}=(28)/(42)=0.6667=66.67%

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

User Rick Kierner
by
8.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories