Question

For questions #43-46, refer to the contingent table below. Test with α = .01 to see...

For questions #43-46, refer to the contingent table below. Test with α = .01 to see if the gender versus favorite ice cream flavor is dependent.

chocolate vanilla

male 1247 910

female 859 1415

#43) What is the (O - E)2 / E value for the men and chocolate?

a.

65.31

b.

1247

c.

47.99

d.

1025.20

e.

1052.17

What is the critical value?

a.

6.635

b.

178.21

c.

31.821

d.

2.706

e.

3.078

What is the value of the test statistic?

a.

156.25

b.

2.706

c.

6.635

d.

134.68

e.

178.21

What is the conclusion?

a.

Reject Ho : the 2 questions are dependent

b.

Reject Ho : the 2 questions are independent

c.

Accept Ho : the 2 questions are independent

d.

Accept Ho : the 2 questions are dependent

e.

Reject Ho : the categories are significantly different

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Answer #1

43) What is the (O - E)2 / E value for the men and chocolate?

Step-2:Observed Frequencies Bi Bi Total 41 1247 910 2157 42 859 1415 2274 Total 2106 2325 4431 - Step-3:Expected Frequencies

c.  47.99

What is the critical value?

c. 31.821

What is the value of the test statistic?

Step-2:Observed Frequencies | B1 B2 Total 41 1247 910 2157 42 859 1415 2274 Total 2106 2325 4431 - Step-3:Expected Frequencie

Step-4: Compute Chi-square XP-5 (0-2v)? (1415 - 1193.1957)2 1193.1957 (1247 - 1025.1957)2 910 - 1131.8043)2 (859 - 1080.8043)

e. 178.21

What is the conclusion?

Reject Ho : the 2 questions are dependent

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