Statistics: Using the p-value method
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Question: Identify the null hypothesis, alternative hypothesis, test statistic, P-value or critical conclusion about the null hypothesis and final conclusion that addresses the original claim. Use the p-value method and use the normal distribution as an approximation to the binomial distribution.
Gender selection for boys
The Genetics and IVF Institute conducted a clinical trial of the YSORT method designed to increase the probably that a baby is a boy. As of this writing, among the babies born to parents using the YSORT method, 172 were boys and 39 were girls. Use the sample data with a 0.01 significance level to test the claim that with this method, the probability of a baby being a boy is greater than 0.5. Does the YSORT method of gender selection appear to work?
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The expert uses the p-value method in statistics.
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Answer
The null hypothesis tested is
H0: The proportion of boys born to parents using the YSORT method ≤ 0.50. (p ≤ 0.50)
The alternative hypothesis is
H1: The proportion of boys born to parents using the YSORT method > 0.50. (p > 0.50)
The test ...
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