Question

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. Basketball Football Soccer Men 20 25 30 75 Women 18 12 15 45 38 45 120 What is the test value for this hypothesis test? (Round your answer to two decimal places) What is the critical value for this hypothesis test? (Round your answer to two decimal places) What is the conclusion for this hypothesis test? Choose one. There is sufficient evidence to support the claim that one's sport preference is dependent on one's gender. There is not sufficient evidence to support the claim that one's sport preference is dependent on one's gender.

Answer 1

The statistic software output for this problem is:

Contingency table results: Rows: vari Columns: None BFS Total M 20 25 30 75 W 18 12 15 45 Total 38 37 45 120 Chi-Square test: Statistic DF Value P-value Chi-square 2 2.3176861 0.3138

Test value = 2.32

Critical value = 5.99

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