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According to an article in Newsweek , the natural ratio of girls to boys is100:105 In China, the birth ratio is100:112(47.2%girls). Suppose you don't believe

According to an article inNewsweek, the natural ratio of girls to boys is100:105 In China, the birth ratio is100:112(47.2%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 in200randomly chosen recent births. There are92girls and108boys born of the200. Based on your study, do you believe that the percent of girls born in China is47.2?

(a) State the null hypothesis. H0: pClick for List <=>Click for List

(b) State the alternative hypothesis. HaHa: pClick for List =<>Click for List

(c) In words, state what the random variable represents.

The random variable represents the percentstandard deviation of the numberpopulation mean of the numberpopulation proportionaverage numberClick for Listof girls born in China.

(d) State the distribution to use for the hypothesis test.

Student's t-poissonbinomialnormal for a single proportionnormalClick for Listdistribution

(e) What is the test statistic?

Round your answer to three decimal places. tzClick for List=

(f) What is thep-value? Round your answers to four decimal places. pp-value=

(g) Select the correct graph for this situation using the previous information.

(h) Let=0.05

  1. Decision: Do not reject the null hypothesis.Reject the null hypothesis.Click for List
  2. Reason for decision: < p-value > p-valueClick for List
  3. Conclusion: There is sufficientinsufficientClick for Listevidence to conclude that the percentage of girls born in China is different from47.2%.

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