Question

According to an article in Newsweek, the natural ratio of girls to boys is 100:105. In China, the birth ratio is 100:114 (46.7% girls). Suppose you don't believe the reported figures of the percent of girls born in China. You conduct a study. In this study, you count the number of girls and boys born in 150 randomly chosen recent births. There are 63 girls and 87 boys born of the 150. Based on your study, do you believe that the percent of girls born in China is 46.7? Conduct a hypothesis test at the 5% level. Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)

-state the null hypothesis

-state the alternative hypothesis

- In words state what random variable P' represents

- State the distribution for the test: P'~

-what is the test statistics? z or t distribution

-What is the P value

- Explain what the P value means

- Sketch picture of the situation

- construct 95% construction interval for the true proportion

Answer 1