A survey was conducted with a large group of teenagers from 6 different states a

Question

A survey was conducted with a large group of teenagers from 6 different states and it asked them for their favourite sport out of a large list of sports. The study aims to look at whether a teenager's state of residence is associated with their sporting preferences. Assume that p is the proportion of teenagers who selected the sport most preferred in their state of residence, such that p_1 is that for State 1, p_2 is that for State 2 and so on. Select from the following all statements that are true as well as the hypothesis that corresponds to this study: H_0: There is no association between state and sporting preference. This is a chi-square test for association. H_a: P_1 notequalto P_2 notequalto .. notequalto P_6 H_0: There is an association between state and sporting preference. H_a: There is no association between state and sporting preference. This is a one-way ANOVA test for equality of means. H_0: p_1 = p_2 = .. = P_6 H_a: There is an association between state and sporting preference. H_a: P_1 = p_2 = .. = P_6 H_0: P_1 notequalto P_2 notequalto .. notequalto P_6

Explanation / Answer

Since the study aims to look at whether a teenagers state of residence is associated with their sporting preference, Therefore statements 1,2 and 8 are the ones which correspond in this case:

H0: There is no association between state and sporting preference.

Ha: There is an association between state and sporting preference

This is a chi square test of association.

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