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, count the number girls and boys born in 150 randomly chosen recent births. There are 61 girls and 89 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% leve 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.) O Part (a) O Part (b) O Part (c) O Part (d) State the distribution to use for the test. (Round your standard deviation to four decimal places.) O Part (e) What is the test statistic? (Round your answer to two decimal places.) --Select-- v= O Part (f) What is the p-value? (Round your answer to four decimal places.) Explain what the p-value means for this problem. O F H, is true, then there is a chance equal to the p-value that the sample ratio is not 61 out of 150 or less OR 79 out of 150 or more. O H Họ is false, then there is a chance equal to the p-value that the sample ratio is 61 out of 150 or less OR 79 out of 150 or more. O f Ho is false, then there is a chance equal to the p-value that the sample ratio is not 61 out of 150 or less OR 79 out of 150 or more. O H Hg is true, then there is a chance equal to the p-value that the sample ratio is 61 out of 150 or less OR 79 out of 150 or more.

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Description: 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 thi

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 26PPS

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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 61 girls and 89 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.)
O Part (a)
+ Part (b)
O Part (c)
O Part (d)
State the distribution to use for the test. (Round your standard deviation to four decimal places.)
P'-
O Part (e)
What is the test statistic? (Round your answer to two decimal places.)
--Select-- v =
O Part (f)
What is the p-value? (Round your answer to four decimal places.)
Explain what the p-value means for this problem.
O If H, is true, then there is a chance equal to the p-value that the sample ratio is not 61 out of 150 or less OR 79 out of 150 or more.
O If H, is false, then there is a chance equal to the p-value that the sample ratio is 61 out of 150 or less OR 79 out of 150 or more.
O If H, is false, then there is a chance equal to the p-value that the sample ratio is not 61 out of 150 or less OR 79 out of 150 or more.
O If H, is true, then there is a chance equal to the p-value that the sample ratio is 61 out of 150 or less OR 79 out of 150 or more.

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