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10) Marketing researchers wanted to know if there is a difference between how men and women felt about the final episode of Better Caul Saul.

10) Marketing researchers wanted to know if there is a difference between how men and women felt about the final episode of Better Caul Saul. The researchers collected a random sample of 100 men and 100 women, and they asked the men and women to describe their attitude about the episode. The results are:

Men

Women

Total

Like

75

60

135

Dislike

15

25

40

No Opinion

10

15

25

Total

100

100

200

a. (4 points) The researchers want to conduct a chi-square test for homogeneity, to see if the distribution of opinions is the same for men and women. State the null and alternative hypotheses for this test.

b. (4 points) Fill in the table for the expected counts for this test.

Men

Women

Total

Like

135

Dislike

40

No Opinion

25

Total

100

100

200

c. (4 points) When they conducted their test at a 1% significance level, they calculated a -value of 0.076. What can they conclude about how men and women felt about the episode?

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