Posted by **Terrance** on Tuesday, April 23, 2013 at 11:25am.

A sport preference poll yielded the following data for men and women. Use a 5% significance level and test to determine if sport preference and gender are independent.

Sport Preferences of Men and Women Basketball Football Soccer

Men 20 25 30 75

Women 18 12 15 45

38 37 45 120

What is the test value for this hypothesis test?

Answer: Round your answer to two decimal places.

What is the critical value for this hypothesis test?

Answer: Round your answer to two decimal places.

What is the conclusion for this hypothesis test? Choose one.

1. There is sufficient evidence to support the claim that one's sport preference is dependent on one's gender.

2. There is not sufficient evidence to support the claim that one's sport preference is dependent on one's gender.

- Statistics -
**PsyDAG**, Tuesday, April 23, 2013 at 3:40pm
Use the Chi-square (X^2) method.

X^2 = ∑ (O-E)^2/E, where O = observed frequency and E = expected frequency.

∑ = sum of all the cells.

E = (column total * row total)/grand total

df = n - 1, where n = number of cells

Look up value in X^2 table in the back of your textbook. Is P ≤ .05?

- Statistics -
**nitin**, Saturday, April 25, 2015 at 10:29am
0.5

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