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.

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Mathematics

5 October, 21:39

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.

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Answers (1)

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Skyla Hansen · Answer 1

Option B

Step-by-step 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.