The Lylian 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 and Why?

a. 0.999
b. 0.5
c. 0.95
d. 0.05
e. 0.01
f. 0.001

In order to establishing the success of the method we need to obtain a p value very low in order to reject the null hypothesis because we need enough evidence in favor of the alternative hypothesis, so then the best option would be:

f. 0.001

Step-by-step explanation:

We need to conduct a hypothesis in order to test the claim that one of several methods claimed to increase the likelihood of a baby girl so then the system of hypothesis are:

Null hypothesis:[tex]p\leq 0.5[/tex]

Alternative hypothesis:[tex]p > 0.5[/tex]

When we conduct a proportion test we need to use the z statisitc, and the is given by:

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)

The p value for this case is given by:

[tex] p_v =P(z>z_{calc}) [/tex]

In order to establishing the success of the method we need to obtain a p value very low in order to reject the null hypothesis because we need enough evidence in favor of the alternative hypothesis, so then the best option would be:

f. 0.001