A sociologist is studying the effect of having children within the first 2 years of marriage on the divorce rate. Using hospital birth records, she selects a simple random sample of 200 couples who had children within the first 2 years of marriage. Following up on these couples, she finds that 80 couples are divorced within 5 years. Let [tex]p=[/tex] the population proportion of couples who had children within the first 2 years of marriage and are divorced within 5 years. What is a [tex]90 \%[/tex] plus four confidence interval for the proportion of couples who had children within the first 2 years of marriage and are divorced within 5 years?
Question options:
[tex]
0.402 \pm 0.088
[/tex]
[tex]
0.402 \pm 0.067
[/tex]
[tex]
0.402 \pm 0.057
[/tex]
[tex]
0.402 \pm 0.035
[/tex]