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Among 1,000 managers with degrees in business administration, the following data have been accumulated as to their fields of concentration.

Major

Top Management

Middle Management

TOTAL

Management

280

220

500

Marketing

120

80

200

Accounting

150

150

300

TOTAL

550

450

1000

Determine if the position in management is independent of field (major) of concentration.

State the null and alternative hypotheses for a contingency table test if we want to determine if the position in management is independent of field (major) of concentration. (2 points)
State the decision rule for the critical value approach. Let alpha = 0.01. (2 points)
Calculate the expected frequency for the cell “Marketing” and “Middle Management.” (2 points)
If the Chi Square statistic is 5.253 what is your conclusion? (2 points)

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