A clinical trial was conducted using a new method designed to increase the probability of conceiving a boy. As of this writing,
278
babies were born to parents using the new method, and
252
of them were boys. Use a
0.05
significance level to test the claim that the new method is effective in increasing the likelihood that a baby will be a boy. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution.
If the new method is effective in increasing the likelihood that a baby will be a boy the proportion of baby must be greater than 0.50.
Conclusion: There is evidence to support the claim that the new method is effective in increasing the likelihood that a baby will be a boy.
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