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 59 girls and 91 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.)

1. State the distribution to use for the test. (Round your answers to four decimal places.)
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2. What is the p-value? (Round your answer to four decimal places.)

3. Explain what the p-value means for this problem. If H₀ is false, then there is a chance equal to the p-value that the sample ratio is 59 out of 150 or less OR 81 out of 150 or more.If H₀ is false, then there is a chance equal to the p-value that the sample ratio is not 59 out of 150 or less OR 81 out of 150 or more.  If H₀ is true, then there is a chance equal to the p-value that the sample ratio is 59 out of 150 or less OR 81 out of 150 or more.If H₀ is true, then there is a chance equal to the p-value that the sample ratio is not 59 out of 150 or less OR 81 out of 150 or more.

Answer 1