Question

According to the Community College Research Center at the Teachers College of Columbia University in New York, 32% of community college students work full-time (full-time defined to be a person working 35 or more hours per week). Bryanna believes that this percentage may be higher among CBC students, so she decides to take a survey of CBC students to determine if her hypothesis is correct or not. Correctly identify a Type I error in Bryanna's study.

Bryanna will commit a Type I error if she concludes the true proportion of CBC students working full time is greater than 32%, when in fact the true proportion of CBC students working full time is less than 32%.

The bolded words are the answers that I put in. One of them is correct and one of them is wrong, but I don't know which is right and which is wrong. Please help.

The answers that you can choose from are: greater than, less than, greater, less, equal

Answer 1

If p is the true proportion of full-time workers in the Community College Research Center at the Teachers College of Columbia University in New York.

You want to test the null H₀:p=.32 against the alternative  H₁​​​​​:p>.32

type I error=rejecting null p=.32 (i.e. accepting p>.32) when it is true

Correct statement

Thus Bryanna will commit a Type I error if she concludes the true proportion of CBC students working full time is greater than 32%, when in fact the true proportion of CBC students working full time is equal to 32%.