Question

A local police chief claims that 68% of all robbery-related arrests are never prosecuted. A sample of 700 arrests shows that 65% of the arrests were not prosecuted. Using this information, one officer wants to test the claim that the number of arrests that are never prosecuted is different from what the chief stated. Is there enough evidence at the 0.10 level to support the officer's claim?

Step 1 of 6:

State the null and alternative hypotheses.

Step 2 of 6:

Find the value of the test statistic. Round your answer to two decimal places.

Step 3 of 6:

Specify if the test is one-tailed or two-tailed.

Step 4 of 6:

Determine the decision rule for rejecting the null hypothesis, H0 if ___ ____ ___

Step 5 of 6:

Make the decision to reject or fail to reject the null hypothesis.

Step 6 of 6:

State the conclusion of the hypothesis test.

There is sufficient evidence to support the claim that the percentage of arrests that are never prosecuted is different from 68%.

There is not sufficient evidence to support the claim that the percentage of arrests that are never prosecuted is different from 68%.

Answer 1