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In recent years, the town of Newport experienced an arrest rate of 25% for robberies. The...

In recent years, the town of Newport experienced an arrest rate of 25% for robberies. The new sheriff compiles records showing that among 30 recent robberies, the arrest rate is 30%, so she claims that her arrest rate is greater than the 25% rate in the past. Is there sufficient evidence to support her claim that the arrest rate is greater than 25%?

math   Statistics-And-Probability   
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Answer #1

Hypotheses:

Ho: p = 0.25

Ha: p > 0.25 [Right Tailed Test]

Test statistic

z = 0.63

p - Value = P(z > 0.63) = 0.2635

Since this p - value is very high, we do not reject Ho and hence, we do not have sufficient evidence to support the claim that her arrest rate is greater than the 25% rate in the past.

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