Among 1000 managers with degrees in business administration, the following data have been accumulated as to their fields of concentration. We want to determine if the position in management is independent of the field (major) of concentration. Major Top Management Middle Management TOTAL Management 280 220 500 Marketing 120 80 200 Accounting 150 150 300 TOTAL 550 450 1000 ​1. Compute the test statistic. 2. Using the p-value approach at the 10% level, test to determine if management position is independent of major. 3. Using the critical value approach, test the hypotheses. Let α = .10.

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Among 1000 managers with degrees in business administration, the following data have been accumulated as to their fields of concentration. We want to determine if the position in management is independent of the field (major) of concentration.

Major

Top Management

Middle Management

TOTAL

Management

280

220

500

Marketing

120

80

200

Accounting

150

150

300

TOTAL

550

450

1000

​1. Compute the test statistic.

2. Using the p-value approach at the 10% level, test to determine if management position is independent of major.

3. Using the critical value approach, test the hypotheses. Let α = .10.

a.

 

b.

 

c.

Using the critical value approach, test the hypotheses. Let α = .10.

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