The conclusion for this hypothesis test is: There is not sufficient evidence to support the claim that one's sport preference is dependent on one's gender.
To determine the independence of sport preference and gender, a chi-square test of independence is conducted on the given data. The observed frequencies are provided for each combination of sport preference (Basketball, Football, Soccer) and gender (Men, Women). The chi-square statistic is calculated, and under the assumption of independence, the expected frequencies are determined.
A critical value or p-value is then compared with the 5% significance level. In this case, the calculated p-value exceeds the significance level, leading to the conclusion that there is not sufficient evidence to reject the null hypothesis of independence. Therefore, we do not have enough statistical evidence to support the claim that one's sport preference is dependent on one's gender.