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 70 couples are divorced within 5 years. Let  p= the population proportion of couples who had children within the first 2 years of marriage and are divorced within 5 years.  Suppose the sociologist wishes to test  Ho: p= 0.4   versus Ha: p < 0.4. What is the test statistic? What is the P value?

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A: H0:P =0.70H1:P≠0.70

Q: O224 O 124 O238 176

A: GIVEN DATA, p=0.169CI=0.90α=1-0.90=0.10E=0.04

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A: Answers are in images uploaded below and calculation of p value is explained in last step. Thanks!

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.