Question

12 multiple choice 1 point according to a survey done in 1946, 91% of adult women were mothers. a sociologist feels that with the changes in a woman’s role in society, this percentage has lowered. suppose the sample evidence indicates that the null hypothesis should be rejected. state the wording of the conclusion. there is insufficient evidence to conclude that the proportion of adult women who are mothers is equal to 0.91. there is sufficient evidence to conclude that the proportion of adult women who are mothers is equal to 0.91. there is sufficient evidence to conclude that the proportion of adult women who are mothers is less than 0.91. there is insufficient evidence to conclude that the proportion of adult women who are mothers is less than 0.91.

Explanation:

Step1: Define hypotheses

Null hypothesis $H_0: p = 0.91$ (no change), alternative hypothesis $H_a: p < 0.91$ (percentage lowered).

Step2: Interpret rejection of $H_0$

Rejecting $H_0$ supports $H_a$, meaning sufficient evidence for $p < 0.91$.

Answer:

There is sufficient evidence to conclude that the proportion of adult women who are mothers is less than 0.91.