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A student is interested in whether there is a relationship between gender and major at her college. She randomly sampled 57 men and women on

A student is interested in whether there is a relationship between gender and major at her college. She randomly sampled 57 men and women on campus and asked them about their majors. Answers given varied between natural sciences (NS), social sciences (SS), or humanities (H). Results appear in the table below.

NS SS H TOTAL
WOMEN 10 14 10 34
MEN 11 8 4 23
TOTAL 21 22 14 57

At = 0.05, can it be concluded that the major is independent of gender?

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