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 pgreater than0.5, 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?

Null hypothesis:  

Alternative hypothesis:  

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

(1)  

For this case we assume that the calculated value its

And the p value for this case would be given by:

And for this case we want that the in order to reject the null hypothesis and on that case we will have enough evidence to conclude that the true proportion of having a girl with the method is >0.5 and that's our interest, so then we need the lowest p value in order to have more evidence to reject the null hypothesisand conclude that the method is effective. The answer for this case would be 0.001.

Step-by-step explanation

Data given and notation

n represent the random sample taken

estimated proportion of interest

is the value that we want to test

represent the significance level

z would represent the statistic (variable of interest)

represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the proportion of having a girl is higher than 0.5, the system of hypothesis on this case are.:  

Null hypothesis:  

Alternative hypothesis:  

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

(1)  

For this case we assume that the calculated value its

And the p value for this case would be given by:

And for this case we want that the in order to reject the null hypothesis and on that case we will have enough evidence to conclude that the true proportion of having a girl with the method is >0.5 and that's our interest, so then we need the lowest p value in order to have more evidence to reject the null hypothesisand conclude that the method is effective. The answer for this case would be 0.001.