Determine whether the statement below makes sense or does not make sense. Explain clearly.

Based on oursample, the95% confidence interval for the mean amount of television watched by adults in a nation is 2.3 to 3.3 hours per day.Therefore, there is95% chance that the mean for all adults in the nation will fall somewhere in this range and a5% chance that it will not.

A.

The statement makes sense. There is95% probability that the confidence interval limits actually contain the true value of the populationmean, so the probability it does not fall in this range is 100%95%=5%.

B.

The statement does not make sense. The probability the population mean is greater than the upper limit is5% and the probability it is less than the lower limit is5%, so the probability it does not is 5%+5%=10%.

C.

The statement does not make sense. The population mean is a fixed constant that either falls within the confidence interval or it does not. There is no probability associated with this.

D.

The statement makes sense. There is5% probability that the confidence interval limits do not contain the true value of the samplemean, so the probability it does not contain the true value of the population mean is also5%.