4. Younoticeinyourintroductorypsychologyclassthatmorewomentendtositupfront,andmoremensitintheback.Todeterminewhetherthisdifferenceissignificant,youcollectdataontheseatingpreferencesforthestudentsinyourclass.Thedatafollows:                               men            womenfront of room          15                27back of room           32               19a. Whatisχ2obt?b. Whatisdfforthistest?c. Whatisχ2cv?d. Whatconclusionshouldbedrawnfromtheseresults

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Asked Nov 22, 2019
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4. Younoticeinyourintroductorypsychologyclassthatmorewomentendtositupfront,andmoremensitintheback.Todeterminewhetherthisdifferenceissignificant,youcollectdataontheseatingpreferencesforthestudentsinyourclass.Thedatafollows:

                               men            women

front of room          15                27

back of room           32               19

a. Whatisχ2obt?

b. Whatisdfforthistest?

c. Whatisχ2cv?

d. Whatconclusionshouldbedrawnfromtheseresults

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Expert Answer

Step 1

The hypotheses are as:

Nullhypothesis H Seating preferences is independent of gender
Alternative hypothesis HSeating preferences is dependent of gender
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Nullhypothesis H Seating preferences is independent of gender Alternative hypothesis HSeating preferences is dependent of gender

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Step 2

This test is the chi square test for independent.

a)

The observation table of chi square test statistics is,

 

Women

Men

Total

Front of room

15

27

42

Back of room

32

19

51

Total

47

46

93

Step 3

The formula to calculate ...

Row Total, x Column Total,
Ei
Total
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Row Total, x Column Total, Ei Total

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