Identify the type I error and the type II error that correspond to the given hypothesis.
The percentage of college students who own cars is less than
Identify the type I error. Choose the correct answer below.
A. Reject the null hypothesis that the percentage of college students who own cars is equal to
B. Reject the null hypothesis that the percentage of college students who own cars is less than
c. Fail to reject the null hypothesis that the percentage of college students who own cars is less than
D. Fail to reject the null hypothesis that the percentage of college students who own cars is equal to
Final Answer:
Step 1 :Identify the type I error and the type II error that correspond to the given hypothesis: The percentage of college students who own cars is less than
Step 2 :In hypothesis testing, a type I error occurs when the null hypothesis is true, but is rejected. It is asserting something that is absent, a false hit. A type II error occurs when the null hypothesis is false, but erroneously fails to be rejected. It is failing to assert what is present, a miss.
Step 3 :In this case, the null hypothesis is that the percentage of college students who own cars is less than or equal to
Step 4 :A type I error would be to reject the null hypothesis when it is true i.e., to conclude that the percentage of college students who own cars is more than
Step 5 :Therefore, the correct answer is A. Reject the null hypothesis that the percentage of college students who own cars is equal to
Step 6 :Final Answer: