Question

A student tests 100 students to determine whether other students on her campus prefer soda brand A or soda brand B and finds no evidence that preference for brand A is not 0.5. Later, a marketing company tests all students on campus and reaches the same conclusion as the student. Choose the correct answer below.

a. The student made a Type I error. She found no evidence that preference for brand A is not a certain value, but the marketing company found no evidence that preference for brand A is a certain value.
b. The student did not make an error. The actual value is 0.50, which was not rejected.
c. The student made a Type II error. She did not reject the null hypothesis.
d. The student made a Type I error. She did not reject the null hypothesis.

Answer 1

Option B

Explanation:

Since the company that Carrie out the survey after the students also arrived at the same conclusion as the student which is: no evidence that preference for brand A is not 0.5. We can say that she did not make any error which could be a type 1 or 2 error and found that the actual value was 0.5 which is the null hypothesis

Null hypothesis: u = 0.5 for brand A

and thus fails to reject the null hypothesis.