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	153	168
No	202	184	175

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

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?

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 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 statistic software output for this problem is:

Contingency table results: Rows: var2 Columns: None Baby Boomer Generation X Millennial Total Yes 124 153 168 445 No 202 184 175 561 Total 326 343 1006 337 Chi-Square test: Statistic DF Value Chi-square 2 8.3929123 P-value 0.015

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 statistics = 8.39

P-value = 0.0150

Conclusion is :

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