Problem

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 35%.
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 35% when that percentage is actually equal to 35%.
B. Reject the null hypothesis that the percentage of college students who own cars is less than 35% when that percentage is actually less than 35%.
c. Fail to reject the null hypothesis that the percentage of college students who own cars is less than 35% when the percentage is actually equal to 35%.

D. Fail to reject the null hypothesis that the percentage of college students who own cars is equal to 35% when that percentage is actually less than 35%.

Answer

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Answer

Final Answer: A. Reject the null hypothesis that the percentage of college students who own cars is equal to 35% when that percentage is actually equal to 35%

Steps

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 35%.

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 35%. The alternative hypothesis is that the percentage of college students who own cars is more than 35%.

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 35% when it is actually less than or equal to 35%.

Step 5 :Therefore, the correct answer is A. Reject the null hypothesis that the percentage of college students who own cars is equal to 35% when that percentage is actually equal to 35%.

Step 6 :Final Answer: A. Reject the null hypothesis that the percentage of college students who own cars is equal to 35% when that percentage is actually equal to 35%

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