Question

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 59 girls and 91 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.)

1. State the distribution to use for the test. (Round your
answers to four decimal places.)

*P'* ~

2. What is the *p*-value? (Round your answer to four
decimal places.)

3. Explain what the *p*-value means for this problem. If
H_{0} is false, then there is a chance equal to the
*p*-value that the sample ratio is 59 out of 150 or less OR
81 out of 150 or more.If H_{0} is false, then there is a
chance equal to the *p*-value that the sample ratio is not
59 out of 150 or less OR 81 out of 150 or more. If
H_{0} is true, then there is a chance equal to the
*p*-value that the sample ratio is 59 out of 150 or less OR
81 out of 150 or more.If H_{0} is true, then there is a
chance equal to the *p*-value that the sample ratio is not
59 out of 150 or less OR 81 out of 150 or more.

Answer #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...

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 63 girls and 87 boys born of the 150.
Based on your study, do you believe that...

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...

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