According to a Health of Boston report, female residents in Boston have a higher average life expectancy as compared to male residents (The Boston Globe, August 16, 2010). You collect the following sample data to test the following hypotheses at 0.01 level of significance: H₀: _{1 2} versus H₁: ₁ > ₂, where females represent group 1 and males represent group 2.

Assume the population standard deviations of life expectancy are 8.2 and 8.6 for females and males, respectively. If the p-value is 0.0034, what is your decision?

Select one:

There is evidence that the life expectancy for females is higher than that for males.

There is no evidence that the life expectancy for females is higher than that for males.