Following up on the previous exercise, consider finding a confidence interval for the mean age among all fathers of newborn babies in North Carolina in 2005. Varying the confidence level, three confidence intervals turn out to be: 90%: (29.49, 30.56) 95%: (29.38, 30.66) 99%: (29.18, 30.86) a. Based on these confidence intervals, what can you say about the p-value for a significance test of whether the population mean age among these fathers differs from 30 years