1. 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 64 girls and 86 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. a. State the distribution to use for the test. (Round your answers to four decimal places.) b. Construct a 95% confidence interval for the true proportion. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your answers to four decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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1. 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 64 girls and 86 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.
a.
State the distribution to use for the test. (Round your answers to four decimal places.)
b. Construct a 95% confidence interval for the true proportion. Sketch the graph of the
situation. Label the point estimate and the lower and upper bounds of the confidence
interval. (Round your answers to four decimal places.)
Transcribed Image Text:Paragraph Styles Editing Adobe Acrobat 1. 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 64 girls and 86 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. a. State the distribution to use for the test. (Round your answers to four decimal places.) b. Construct a 95% confidence interval for the true proportion. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your answers to four decimal places.)
Expert Solution
Step 1

The confidence interval for the population proportion,

p^±Z * p^ (1-p^)nwhere p^=sample proportion            n=sample size

 

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