Using the Exact Method Repeat Example 3 using exact binomial probabilities instead of the normal distribution. That is, test the claim that when pregnant women guess the sex of their babies, they have...

Using the Exact Method
Repeat Example 3 using exact binomial probabilities instead of the normal distribution. That is, test the claim that when pregnant women guess the sex of their babies, they have a 50% success rate. Use the sample data consisting of 104 guesses, of which 57 are correct. Use a 0.05 significance level.

Example 3

Can a Pregnant Woman Predict the Sex of Her Baby?

Example 2 referred to a study in which 57 out of 104 pregnant women correctly guessed the sex of their babies. Use these sample data to test the claim that the success rate of such guesses is no different from the 50% success rate expected with random chance guesses. Use a 0.05 significance level.

Example  2

Finding the Number of Successes x
A study addressed the issue of whether pregnant women can correctly guess the sex of their baby. Among 104 recruited subjects, 55% correctly guessed the sex of the baby (based on data from “Are Women Carrying ‘Basketballs’ Really Having Boys? Testing Pregnancy Folklore,” by Perry, DiPietro, and Constigan, Birth, Vol. 26, No. 3). How many of the 104 women made correct guesses?