Question

Suppose a company surveyed the work preferences and attitudes of 1,006 working adults spread over three generations: baby boomers, Generation X, and millennials. In one question, individuals were asked if they would leave their current job to make more money at another job. The sample data are summarized in the following table.

Leave Job for More Money?	Generation
	Baby Boomer	Generation X	Millennial
Yes	124	151	170
No	202	182	177

Conduct a test of independence to determine whether interest in leaving a current job for more money is independent of employee generation.

State the null and alternative hypotheses.

H₀: Interest in leaving job for more money is not mutually exclusive of the employee generation.
H_a: Interest in leaving job for more money is mutually exclusive of the employee generation.

H₀: Interest in leaving job for more money is mutually exclusive of the employee generation.
H_a: Interest in leaving job for more money is not mutually exclusive of the employee generation.    

H₀: Interest in leaving job for more money is independent of the employee generation.
H_a: Interest in leaving job for more money is not independent of the employee generation.

H₀: Interest in leaving job for more money is not independent of the employee generation.
H_a: Interest in leaving job for more money is independent of the employee generation.

Find the value of the test statistic. (Round your answer to two decimal places.)

What is the p-value? (Round your answer to four decimal places.)

Using a 0.05 level of significance, what is your conclusion?

Reject H₀. We conclude that interest in leaving a job for more money is not independent of the employee generation.

Do not reject H₀. We cannot conclude that interest in leaving a job for more money is independent of the employee generation.   

Do not reject H₀. We conclude that interest in leaving a job for more money is not independent of the employee generation.

Reject H₀. We cannot conclude that interest in leaving a job for more money is independent of the employee generation.

Answer 1

The statistical software output for this problem is:

Contingency table results: Rows: Money? Columns: None Baby Boomer Generation X Millennial Total Yes 124 151 170 445 No 202 182 177 561 Total 326 333 347 1006 Chi-Square test: Statistic DF Value Chi-square 2 8.4259587 P-value 0.0148

Hence,

Hypothesis:

H₀: Interest in leaving job for more money is independent of the employee generation.
H_a: Interest in leaving job for more money is not independent of the employee generation.

Test statistic = 8.43

P - value = 0.0148

Conclusion: Option A is correct.