A professor at the University of Iowa was interested in evaluating whether domestic dispute calls were more dangerous to officers than other types of calls. Collecting information on call for service and whether the call resulted in officer injury. The data is displayed in the contingency table below.       Type of Call     Domestic Dispute Not a Domestic Dispute Officer Injury No 128 675   Yes 245 786   Category Observed Expected O – E (O – E)2 (O – E)2/E No, Domestic 128 163.31 -35.31 1246..796 7.64 No, Not Domestic 675 639.69 35.31 1246.796 1.95 Yes, Domestic 245 209.69 35.31 11506.85 5.951.52 Yes, Not Domestic 786 821.31 -35.31 1246.796     Using an alpha level of 0.05, are domestic calls more dangerous for officers than other types of calls? Compute Cramer’s V and identify if it is a small, medium, or large effect.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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A professor at the University of Iowa was interested in evaluating whether domestic dispute calls were more dangerous to officers than other types of calls. Collecting information on call for service and whether the call resulted in officer injury. The data is displayed in the contingency table below.

 

 

 

Type of Call

 

 

Domestic Dispute

Not a Domestic Dispute

Officer Injury

No

128

675

 

Yes

245

786

 

Category

Observed

Expected

OE

(OE)2

(OE)2/E

No, Domestic

128

163.31

-35.31

1246..796

7.64

No, Not Domestic

675

639.69

35.31

1246.796

1.95

Yes, Domestic

245

209.69

35.31

11506.85

5.951.52

Yes, Not Domestic

786

821.31

-35.31

1246.796

 

 

Using an alpha level of 0.05, are domestic calls more dangerous for officers than other types of calls?

Compute Cramer’s V and identify if it is a small, medium, or large effect.

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