When having a baby, assume that the probability of having a boy is 50% and the probability of having a girl is 50%. The Ericsson method is one of several methods claimed to increase the likelihood of...

When having a baby, assume that the probability of having a boy is 50% and the probability of having a girl is 50%.  The Ericsson method is one of several methods claimed to increase the likelihood of having a baby girl.  In a clinical trial, results could be analyzed with a formal hypothesis test with the alternative hypothesis (H1) 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.

1. State the null hypothesis (H0) involving this proportion.

2.  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, 0.5 0.01, 0.001?

3.  Why would you prefer that p-value over the others?