DATTCO, a school bus company in New Britain, Connecticut, will install seat belt

Question

DATTCO, a school bus company in New Britain, Connecticut, will install seat belts on all buses if more than 50% of all parents favor this change. A random sample of parents in the school district will be obtained, and the responses will be used to test the relevant hypothesis. If p is the true proportion of parents who favor seat-belt installation, which of the following sets of null and alternative hypotheses is appropriate? Justify your answer. H_0: p = 0.50 versus H_a: p notequalto 0.50 H_0: p = 0.50 versus H_a: p 0.50

Explanation / Answer

Here first we need to figure out what is the research hypothesis. Here we are interested in knowing whether 50% of parents are in favor of seat belts installation.

This is our alternate hypothesis, hence Ha: p > 0.5

Opposite of this would be the null hypotheis, hence H0: p = 0.5

Hence, option (C) is correct

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