# Statistics

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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?

What is the critical value for this hypothesis test?

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 -

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 -

0.5

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