4 Supporting a Claim In preliminary results from couples usi

4. Supporting a Claim In preliminary results from couples using the Gender Choice method of gender selection to increase the likelihood of having a baby girl, 20 couples used the Gender Choice method with the result that 8 of them had baby girls and 12 had baby boys. Given that the sample proportion of girls is 8 20 or 0.4, can the sample data support the claim that the proportion of girls is greater than 0.5? Can any sample proportion less than 0.5 be used to support a claim that the population proportion is greater than 0.5?

Solution

this is binomial diistribution with n=20 p=.4 q=.6 sd=20*.4*.6=4.8 we need to check hypothesis Ho: mean=.5 H1: mean>.5 if the null hypothesis is rejected with the sample mean we can say that mean>.5 yes sample proportion less than .5 can be used to support a claim that the proportion is greater than 0.5. for this we need to check hypothesis