Question

Perform a hypothesis test using a 0.05 significance level to test Dr. Karabinus' claim (in the introductory video) about the success rate of the XSORT method of gender selection. Assume that the sample data that you are using consists of 55 girls born in 100 births.Part 1: What do we need to understand to construct a hypothesis test for Dr. Karabinus' claim? What values do we need to find to conduct a hypothesis test using a) the P-value method, b) the critical value method, and c) the confidence interval method?Part 2: Choose one of the three methods of hypothesis testing to test Dr. Karabinus' claim. Explain clearly how your hypothesis test is constructed and conducted without the use of technology. Show how the method works and give the meaning of the terminology in your own words.Part 3: Carefully word the final conclusion for your hypothesis test. Discuss the statistical significance of the results and your views regarding the use of gender selection methods?

Answer 1

a = 0.05

Claim: The success rate of the XSORT method of gender selection.

x = 55

n = 100

Null and alternative hypothesis is

H0:P=0.5 Vs P
`\\eq`0.5

p0 : 0.5

x : 55

n : 100

prop :
`\\eq` p0

calculate

we get

z = 1

p = 0.317310

so p value > 0.05 we fail to reject null hypothesis.

Conclusion : There is sufficient evidence that we support null hypothesis.

That is the success rate of the XSORT method of gender selection