A sociologist is studying what effect having children within the first three yea

Question

A sociologist is studying what effect having children within the first three years of marriage is having on the divorce rate. From city marriage records, she selects a random sample of 400 couples who were married between 1985 and 1990 for the first time, with both members of the couple between the ages of 20 and 25. Of the 400 couples, 220 had at least one child within the first three years of marriage. Of the couples who had children, 83 were divorced within five years. Of the couples who didn't have children within the first three years, only 52 were divorced. Among couples who had a child within the first three years, suppose is the proportion who were divorced within five years. Similarly, among couples who did not have a child within the first three years, suppose is the proportion who were divorced within five years. The sociologist had hypothesized that having children early would increase the divorce rate. She tested the one-sided alternative and obtained a P-value of 0.0314. The correct conclusion is that there is

A.)significant evidence that the proportion of those who divorce is the same whether having children early or not. B.)there is significant evidence that the proportion of those who divorce is higher for those having children early. C.)there is not significant evidence that the proportion of those who divorce is higher for those having children earlier.

Explanation / Answer

Answer: The correct answer is B

B) there is significant evidence that the proportion of those who divorce is higher for those having children early.

Calculated P=0.0314 < 0.05 level of significance.

The null hypothesis is rejected.

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