On average, a person’s body temperature should be approximately 98 point 6 times degree F A doctor would like to test the hypotheses ratio of cap h sub 0 to mu is equal to 98 point 6 versus ratio of cap h sub A to mu is not equal to 98 point 6 where mu is equal to the true mean body temperature of all adults. Before conducting the test, the doctor determines that the power of the test to reject the null hypothesis when mu is equal to 98 using alpha is equal to 0 point 0 1 and n is equal to 10 is 0 point 2 4 7 4 What combination of sample size and significance level would increase the power of this test the most?
Answer
A
use n is equal to 20 , alpha is equal to 0 point 0 5
B
use n is equal to 5 , alpha is equal to 0 point 1 0
C
use n is equal to 5 , alpha is equal to 0 point 0 5
D
use n is equal to 20 , alpha is equal to 0 point 1 0
Explanation
Power increases when the sample size increases because a larger sample makes it easier to detect a difference from the null value. Power also increases when the significance level increases, since the test is more willing to reject the null hypothesis. Choice D uses the largest sample size, n = 20, and the largest significance level, α = 0.10, so it increases power the most.
AI-written and checked against the verified answer.