The mean family income for a random sample of 600 suburban households in Loganville shows that a 95 percent confidence interval is ($43,100, $59,710). Alma is conducting a test of the null hypothesis H0: µ = 42,000 against the alternative hypothesis Ha: µ ≠ 42,000 at the α = 0.05 level of significance. Does Alma have enough information to conduct a test of the null hypothesis against the alternative?

A No, because the value of σ is not known

B No, because it is not known whether the data are Normally distributed

C No, because the entire data set is needed to do this test

D Yes, because $42,000 is not contained in the 95% confidence interval, the null hypothesis would not be rejected, and it could be concluded that the mean family income is not significantly different from $42,000 at the α = 0.05 level

E Yes, because $42,000 is not contained in the 95% confidence interval, the null hypothesis would be rejected in favor of the alternative, and it could be concluded that the mean family income is significantly different from $42,000 at the α = 0.05 level