ork Chapter Question 2, 8.1.4 HW Score: $3.57 \%, 1$ of 28 points Points: 0 of 1 Save The Ericsson method is one of several methods claimed to increase the likelihood of a baby girl. In a clinical trial, results could be analyzed with a formal hypothesis test with the alternative hypothesis of $p>0.5$, which corresponds to the claim that the method increases the likelihood of having a girl, so that the proportion of girls is greater than 0.5 . If you have an interest in establishing the success of the method, which of the following P-values would you prefer: 0.999, 0.5, $0.95,0.05,0.01,0.001$ ? Why? The P-value of is preferred because it corresponds to the sample evidence that most strongly supports the hy nethod effective. 0.01 0.5 0.999 0.95 0.05 0.001

Step 1 ：The Ericsson method is one of several methods claimed to increase the likelihood of a baby girl. In a clinical trial, results could be analyzed with a formal hypothesis test with the alternative hypothesis of \(p>0.5\), which corresponds to the claim that the method increases the likelihood of having a girl, so that the proportion of girls is greater than 0.5 . If you have an interest in establishing the success of the method, which of the following P-values would you prefer: 0.999, 0.5, \(0.95,0.05,0.01,0.001\) ? Why?

Step 2 ：The P-value is a measure of the probability that an observed difference could have occurred just by random chance. The lower the P-value, the greater the statistical evidence you have to reject the null hypothesis. In this case, the null hypothesis would be that the Ericsson method does not increase the likelihood of having a girl (i.e., p <= 0.5). Therefore, if we want to establish the success of the method, we would prefer a lower P-value because it would provide stronger evidence against the null hypothesis and in favor of the alternative hypothesis (i.e., p > 0.5).

Step 3 ：The preferred P-value would be \(\boxed{0.001}\) because it provides the strongest evidence against the null hypothesis and in favor of the alternative hypothesis that the Ericsson method increases the likelihood of having a girl.