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Is Life Exciting or Dull * General Happiness Crosstabulation Count General Happi

ID: 3365561 • Letter: I

Question

Is Life Exciting or Dull * General Happiness Crosstabulation

Count

General Happiness

Total

Very Happy

Pretty Happy

Not Too Happy

Is Life Exciting or Dull

Exciting

195

218

21

434

Routine

98

338

61

497

Dull

2

12

26

40

Total

295

568

108

971

1. What is the expected frequency for “Routine & Pretty Happy”?

a. 151

b. 290.7

c. 23.4

d. 55.3

2. Calculate the 2 for the following table.

Is Life Exciting or Dull * General Happiness Crosstabulation

Count

General Happiness

Total

Very Happy

Pretty Happy

Not Too Happy

Is Life Exciting or Dull

Exciting

195

218

21

434

Routine

98

338

61

497

Dull

2

12

26

40

Total

295

568

108

971

a. 196.02

b. 156.89

c. 205.36

d. 186.33

3. Given the 2 you found in the above table, would you reject or fail to reject the null hypothesis? Use an alpha level of 0.05.

a. Reject the null hypothesis

b. Fail to reject the null hypothesis

Is Life Exciting or Dull * General Happiness Crosstabulation

Count

General Happiness

Total

Very Happy

Pretty Happy

Not Too Happy

Is Life Exciting or Dull

Exciting

195

218

21

434

Routine

98

338

61

497

Dull

2

12

26

40

Total

295

568

108

971

Explanation / Answer

1) expected frequency for “Routine & Pretty Happy =row total*column total/grand total =497*568/971 =290.7

option B

2)

from above  2 a. 196.02

3)

a. Reject the null hypothesis

Observed O very happy pretty happy not too happy Total exciting 195 218 21 434 routine 98 338 61 497 dull 2 12 26 40 Total 295 568 108 971 Expected E=rowtotal*column total/grand total very happy pretty happy not too happy Total exciting 131.854 253.874 48.272 434 routine 150.994 290.727 55.279 497 dull 12.152 23.399 4.449 40 Total 295 568 108 971 chi square =(O-E)^2/E very happy pretty happy not too happy Total exciting 30.2414 5.0693 15.4076 50.718 routine 18.5991 7.6867 0.5921 26.878 dull 8.4816 5.5528 104.3925 118.427 Total 57.322 18.309 120.392 196.023
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