Question

Which of the following statements would be a statement of power?

A. The probability of concluding scores were not significantly higher after participating in the Reading Is Fun program, when really they were not.

B. The probability of concluding scores were not significantly higher after participating in the Reading Is Fun program, when really they were.

C. The probability of concluding scores were significantly higher after participating in the Reading Is Fun program, when really they were.

Answer 1

Power of a test is the probability of rejecting the null hypothesis when it is actually true.

Now consider a testing scenario where we are testing scores are more after participating in the reading is fun program.

Here null hypothesis is that mean score remain same even after participating in the program and alternative hypothesis is that the score has significantly increased.

Now here, power is the probability of concluding that scores are significantly more after participating in the program when they are really more.

This is being said in 3rd option. Hence the 3rd option is the only correct option.

The other options are incorrect for obvious reasons.

Answer: Option C is correct.

Hope the solution helps. Thank you.