Answer
Yes, we have enough evidence that beliefs about the ideal number of children have changed.
Work Step by Step
Here we have: $H_{o}$: μ = 2.64, $H_{a}: μ \ne 2.64$, n = 915, x̅ = 2.47, s = 1.02 and α = 0.05
Using the Classical approach:
Using Table VI, we have: t = +/- 1.962
$σ_{ x̅} = \frac{s}{\sqrt n} = \frac{1.02}{\sqrt 915} = 0.03371$
$t = \frac{2.47 - 2.64}{2.1} = -5.04$
Since, -5.04 < -1.962, we reject the Null hypothesis.
