Answer to Question #226076 in Statistics and Probability for Carol

Question

The personnel manager of a consumer product company asked a random sample of employees

how they felt about the work they were doing. The following table gives a breakdown of their

responses by gender. Do the data provide sufficient evidence to conclude that the level of job

satisfaction is related to gender? Conduct the test at the 0:10 level of significance.

Response

Gender Very interesting Fairly interesting Not interesting

Male 70 41 9

Female 35 34 11

Which one of the following statements is incorrect?

1. H0 : Gender and level of job satisfaction are independent.

2. The expected value of male employee with the response of fairly interesting is 45:

3. The degree of freedom is 2.

4. The rejection region is 

2 < 2

0:10I2 D 4:61:

5. The test statistic 

2

is 4:708:

Answer 1

The rejection region for df=2, $\alpha=0.1: \chi^2>4.61.$

Option 4 is incorrect.