Question

A local police chief claims that 31% of all drug-related arrests are never prosecuted. A sample of 500 arrests shows that 27% 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 under what the chief stated. Is there enough evidence at the 0.02 level to support the officer's claim?

Step 1: Find the value of the test statistic. Round your answer to two decimal places.

Step 2: Find the p-value.

Step 3: What is the level of significance

Step 4: Is this one-tailed or two-tailed

Step 5: Make a decision to reject or fail to reject

Step 6: is there enough evidence at the 0.02 level to support the officer's claim

GET ALL CORRECT FOR A THUMBS UP!  

Answer 1

1. Here claim is that p<0.31

So hypothesis is vs

So test statistics is

2. P value is

3. Level of significance is 0.02

4. As alternative hypothesis is having less than sign it is one tailed test

5. As P value is greater than alpha, we fail to reject the null hypothesis

6. There is not enough evidence at the 0.02 level to support the officer's claim