A study was conducted to determine the true mean hourly wage of all working high school students. A 95% confidence interval for the true mean hourly wage of high school students is ($6.50, $13.00). Based upon this interval, what conclusion should be made about the hypotheses: H₀ : µ = 15 versus H₀ : µ ≠ 15 where µ= the true mean hourly income of all working high school students at α = 0.05?
A. Reject H₀. Since 15 falls outside the 95% confidence interval, there is convincing evidence that the true mean hourly income of all working high school students is greater than $15.
B. Reject H₀. Since 15 falls outside the 95% confidence interval, there is convincing evidence that the true mean hourly income of all working high school students is different than $15.
C. Fail to reject H₀. Since 15 falls outside the 95% confidence interval, there is convincing evidence that the true mean hourly income of all working high school students is different than $15.