A local police chief claims that 46% of all robbery-related arrests are never prosecuted. A sample of 500 arrests shows that 43% 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 below what the chief stated. Is there enough evidence at the 0.05 level to support the officer's claim? A)State the null and alternative hypotheses. B) Find the value of the test statistic. Round your answer to two decimal places. C)Specify if the test is one-tailed or two-tailed. D)Determine the P-value of the test statistic. Round your answer to four decimal places. E)Identify the value of the level of significance. F)Make the decision to reject or fail to reject the null hypothesis. G)State the conclusion of the hypothesis test.
A local police chief claims that 46% of all robbery-related arrests are never prosecuted. A sample of 500 arrests shows that 43% 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 below what the chief stated. Is there enough evidence at the 0.05 level to support the officer's claim?
A)State the null and alternative hypotheses.
B) Find the value of the test statistic. Round your answer to two decimal places.
C)Specify if the test is one-tailed or two-tailed.
D)Determine the P-value of the test statistic. Round your answer to four decimal places.
E)Identify the value of the level of significance.
F)Make the decision to reject or fail to reject the null hypothesis.
G)State the conclusion of the hypothesis test.
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 1 images
