Question

"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 equal to 35%. Identify the type I error.

a. Type I Error: Rejecting the null hypothesis when it's true
b. Type I Error: Failing to reject the null hypothesis when it's false
c. Type I Error: Accepting the alternative hypothesis when it's false
d. Type I Error: Accepting the null hypothesis when it's false"

Answer 1

The Type I error in this case corresponds to option d: Type I Error: Accepting the null hypothesis when it's false.In this case, the null hypothesis is that the percentage of college students who own cars is equal to 35%.

Step-by-step explanation:

The Type I error in this case corresponds to option d: Type I Error:

Accepting the null hypothesis when it's false.

In hypothesis testing, the null hypothesis represents a statement of no effect or no difference.

In this case, the null hypothesis is that the percentage of college students who own cars is equal to 35%.

The alternative hypothesis would be that the percentage is different from 35%.

Type I error occurs when we reject the null hypothesis (accept the alternative hypothesis) when it is actually false. So, option d is the correct choice.