Question

Select your answer. A random survey of 212 students asked each student to select the most preferred form of recreational activity from five choices. Here are the results of the survey: Basketball (1) Softball (2) Swimming (3) Jogging (4) Tennis (5) Male 31 16 19 22 23 Female 21 16 13 27 24 Is there a relationship between gender and preferred sport? The hypotheses are OH : all P1, P2, P3, P4, P5 are different vs H: P1 = P2 = P3 = P4 = P5 = ܝI OH : the true average number of male student is equal to the true average number of female student for each sport vs H : the true average number of male student is not equal to the true average number of female student for at least one of sports OH : the true average number of male student is not equal to the true average number of female student for at least one of sports Hi : the true average number of male student is equal to the true average number of female student for each sport vs O none of the answers provided here O Ho : P1 = P2 = P3 = P4 = P5 = } vs Hi : all P1, P2, P3, P4, ps are different OH : gender and preferred sport are not independent vs Hi : gender and preferred sport are independent OH : gender and preferred sport are independent vs H : gender and preferred sport are not independent

Answer 1

$H_{0}:$ gender and preferred sport are independent vs

H1
gender and preferred sport are not independent.

[ this is chi square test for independence (association) ...in which the null hypothesis contains that the two factors are independent...and the alternative hypothesis contains that the two factors are dependent. ]

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