1. According to an article in Newsweek, the natural ratio of girls to boys is 100:105. InChina, the birth ratio is 100:l14 (46.7% girls). Suppose you don't believe the reportedfigures of the percent of girls born in China. You conduct a study. In this study, youcount the number of girls and boys born in 150 randomly chosen recent births. Thereare 64 girls and 86 boys born of the 150. Based on your study, do you believe that thepercent of girls born in China is 46.7? Conduct a hypothesis test at the 5% level.State the distribution to use for the test. (Round your answers to four decimal places.)a.b. What is the test statistic? (If using the z distribution round your answers to twodecimal places, and if using the t distribution round your answers to three decimalplaces.)c. What is the p-value? (Round your answer to four decimal places.)d. Construct a 95% confidence interval for the true proportion. Sketch the graph of thesituation. Label the point estimate and the lower and upper bounds of the confidenceinterval. (Round your answers to four decimal places.)

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Description: 1. According to an article in Newsweek, the natural ratio of girls to boys is 100:105. InChina, the birth ratio is 100:l14 (46.7% girls). Suppose you don't believe the reportedfigures of the percent of girls born in China. You conduct a study. In th

Answered: 1. According to an article in Newsweek,…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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:l14 (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.
State the distribution to use for the test. (Round your answers to four decimal places.)
a.
b. What is the test statistic? (If using the z distribution round your answers to two
decimal places, and if using the t distribution round your answers to three decimal
places.)
c. What is the p-value? (Round your answer to four decimal places.)
d. 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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The test statistic for proportion,

$Z = \frac{\hat{p} - P}{\sqrt{\frac{P (1 - P)}{n}}} where, P = population proportion n = sample size \hat{p} = sample proportion$

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