Question

A fertility method called “sperm sorting” is designed to increase the probability of conceiving a baby of a specified gender. A random sample of 620 babies were born using a sperm sorting technique, and 338 of them were girls.

(a) What is the point estimate for the population proportion of girls conceived with the sperm sorting technique?


(b) Construct a 99% confidence interval for the percentage of girls born using this method. You may use your calculator. Round to 4 decimals.



(c) Are the assumptions met? Explain.




(d) Interpret the interval.





(e) Suppose a company that uses a sperm sorting technique claims that they can increase your probability of conceiving a baby girl (i.e. more than 50% of births will result in a girl). Run a hypothesis test, at the 0.01 level of significance, to determine whether this claim is true. Include the p-value and state your conclusion in terms of the problem.

Hypotheses: ___________________________ ___________________________

p-value (round to 4 decimals) = _______________

State your conclusion in terms of the problem

Answer 1