Answer
$X^2_0\gt X_α^2$: null hypothesis is rejected.
There is enough evidence to conclude that family structure and sexual activity of 15- to 19-year-old females are dependent.
Work Step by Step
$H_0:$ family structure and sexual activity of 15- to 19-year-old females are independent.
versus
$H_1:$ family structure and sexual activity of 15- to 19-year-old females are dependent.
$X^2_0=10.359$
$r=2$, $c=4$.
So, $d.f.=(r−1)(c−1)=3$
$X_α^2=X_{0.05}^2=7.815$
(According to Table VII, for d.f. = 3 and area to the right of critical value = 0.05)
Since $X^2_0\gt X_α^2$, we reject the null hypothesis.
