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. In words, state what your random variable P' represents. State the distribution to use for the test. (Round your answers to four decimal places.) P'~N (0.467, 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.)

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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
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
percent
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.
In words, state what your random variable P' represents.
State the distribution to use for the test. (Round your answers to four decimal places.)
P'~N (0.467,
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.)
a.
b.
с.
I
Transcribed Image Text: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 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 percent 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. In words, state what your random variable P' represents. State the distribution to use for the test. (Round your answers to four decimal places.) P'~N (0.467, 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.) a. b. с. I
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Step 1

Provided information is, according to an article natural ratio of girls to boys is 100:105. Randomly 150 births are chosen, there are 65 girls and 86 boys.

It is claimed that girls born in china are 46.7%

Hypotheses can be constructed as:

H0: p=0.467

H1: p≠0.467

x=64, n=150, p=x/n= 0.4267

The random variable p represents the sample proportion of the girls in the china.

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