A personnel director claims that the distribution of the reasons workers leave their jobs is different from the distribution shown in the figure. You randomly select 200 workers who recently left their jobs and record each worker’s reason for doing so. The table shows the results. At α = 0.01, test the personnel director’s claim.

(a) Identify the expected distribution and state H₀ and H_a,

(b) Find the critical value and identify the rejection region,

(c) Find the chi-square test statistic,

(d) Decide whether to reject or fail to reject the null hypothesis,

(e) Interpret the decision in the context of the original claim.

Transcribed Image Text:

Survey results Why workers leave Reasons given for good employees quiting their jobs 4190 Limited Response Frequency, J advance potential Limited advancement potential Lack of recognition Low salary/benefits Unhappy with mgmt. Bored/don't know 78 25% Lack of recognison 52 30 25 15 15% efits , 10% UnhoppyBored 19% management dont know