Question

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 hypothesis that the method effective

Explanation:

In hypothesis testing, a smaller P - value provides stronger evidence against the null hypothesis. Here, the alternative hypothesis is \(p>0.5\) (the method is effective). A smaller P - value means that the observed data is less likely to occur if the null hypothesis (\(p = 0.5\)) is true. Among the given P - values \(0.999,0.5,0.95,0.05,0.01,0.001\), the smallest one is \(0.001\).

Answer:

The P - value of \(0.001\) is preferred because it corresponds to the sample evidence that most strongly supports the alternative hypothesis that the method is effective.