Question

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

Answer 1

Answer:

$p_v =P(z>z_{calc})$

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:$p\leq 0.5$  

Alternative hypothesis:$p > 0.5$  

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

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)  

The p value for this case is given by:

$p_v =P(z>z_{calc})$

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