Question

In: Statistics and Probability

A government agency has 6000 employees. As an alternative to the traditional five day work​ week,...

A government agency has 6000 employees. As an alternative to the traditional five day work​ week, employees were asked whether they preferred a four day work week​ (10 hours per​ day) or flexible hours. The table below shows the results by age category. Which of the following statements is TRUE about work week preferences and age​ category?

Age Category

Prefers 4 Day Week

Prefers Flex Hours

Under 30

600

300

30minus−45

1200

1500

Over 45

2100

300

A.

Work week preferences are independent and mutually exclusive.

B.

Work week preferences are independent of age category.

C.

Work week preferences are not independent of age category.

D.

Work week preferences are mutually exclusive.

E.

There is insufficient information to determine whether work week preferences and age category are independent or mutually exclusive.

Solutions

Expert Solution

Here, we have to use the given information to check the independence and mutually exclusive property.

The detailed procedure to answer the given question is as given in the image below:-

Hence, we find that, Work Week Preference and Age Category are neither Independent nor Mutually Exclusive.

Hence,

Option C.Work week preferences are not independent of age category is the correct alternative.

This answers your question.

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In case of any queries please feel free to comment.

orchestra answered 1 year ago
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