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	154	167
No	202	185	174

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 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 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.

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.    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.

Answer 1

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

Applying chi square test:

Expected	Ei=row total*column total/grand total	Baby Boomer	Gen X	Millennial	Total
	Yes	144.2048	149.9553	150.8400	445
	No	181.7952	189.0447	190.1600	561
	total	326	339	341	1006
chi square    χ2	=(Oi-Ei)2/Ei	Baby Boomer	Gen X	Millennial	Total
	Yes	2.8309	0.1091	1.7313	4.6713
	No	2.2456	0.0865	1.3733	3.7054
	total	5.0765	0.1956	3.1046	8.3767

test statistic X² =8.38

p value = 0.0152

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