A study was conducted to determine the true mean number of hours of television watched on school nights by teenagers. A 99 percent confidence interval for the true mean is 0 point 8 hours to 2 point 1 hours. Based upon this interval, what conclusion should be made about the hypotheses: ratio of cap h sub 0 to mu is equal to 2 point 5 versus ratio of cap h sub A to mu is not equal to 2 point 5 where μ= the true mean number of hours of television watched on school nights by teenagers at α=0.01 ?
Answer
A
Fail to reject cap h sub 0 . Since 2 point 5 falls outside the 99 percent confidence interval, there is convincing evidence that the true mean number of hours of television watched on school nights by teenagers differs from 2 point 5 hours.
B
Reject cap h sub 0 . Since 2 point 5 falls outside the 99 percent confidence interval, there is not convincing evidence that the true mean number of hours of television watched on school nights by teenagers differs from 2 point 5 hours.
C
Reject cap h sub 0 . Since 2 point 5 falls outside the 99 percent confidence interval, there is convincing evidence that the true mean number of hours of television watched on school nights by teenagers differs from 2 point 5 hours.
D
Fail to reject cap h sub 0 . Since 2 point 5 falls outside the 99 percent confidence interval, there is not convincing evidence that the true mean number of hours of television watched on school nights by teenagers differs from 2 point 5 hours.