The commissioner of the state police is reported as saying that about 10% of reported auto thefts involve owners whose cars haven't really been stolen. What null and alternative hypotheses would be appropriate in evaluating this statement made by the commissioner?

A. H0: p ≥ 0.10 and H1: p < 0.10
B. H0: p ≤ 0.10 and H1: p > 0.10
C. H0: p > 0.10 and H1: p ≤ 0.10
D. H0: p = 0.10 and H1: p ≠ 0.10

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MrRoyal MrRoyal · Answer 1 · 2022-05-02T13:31:04+02:00

The appropriate null and alternate hypotheses are (d) H0: p = 0.10 and H1: p ≠ 0.10

From the question, we understand that:

The proportion of reports that have their cars stolen is given as 10%

Null hypothesis is represented with the equality sign.

So, the null hypothesis is H0: p = 0.10

The alternate hypothesis is represented with the unequal sign.

So, the alternate hypothesis is H1: p ≠0.10

Hence, the appropriate hypotheses are (d) H0: p = 0.10 and H1: p ≠ 0.10

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