Question 7 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)
A social scientist collects information about study time for a random sample of 40 students with the intention of testing the hypotheses = 2 hours per night versus 2 hours per night where μ = the true mean number of hours of study time per night for students. The power of this test to reject the null hypothesis when μ = 2.25 is 0.35. What is the correct interpretation of the value 0.35?
Answer
A
The probability that this test will reject that the true mean number of hours of study time per night for students is 2 when the true mean is not 2.25 is 0.35.
B
The probability that this test will reject that the true mean number of hours of study time per night for students is 2 when the true mean is really 2.25 is 0.35.
C
The probability that this test will fail to reject that the true mean number of hours of study time per night for students is 2 when the true mean is not 2.25 is 0.35.
D
The probability that this test will fail to reject that the true mean number of hours of study time per night for students is 2 when the true mean is really 2.25 is 0.35.