A physician claims that as soon as his patients have a positive pregnancy test, he is generally able to predict the sex of the baby and that his probability of being right is greater than the one-half that would be expected if he were just guessing. A skeptic challenges his claim, and the physician decides to collect data for the next ten pregnancies to try to support his claim.
- From the perspective of the physician, what are the null and alternative hypotheses for this situation?
- Out of the ten pregnancies, he is correct six times. Write in words what probability needs to be computed to find the p-value.
- The p-value for this test is .377. Does that prove that the skeptic is correct? Explain.
- State the appropriate conclusion, using alpha = .05.
- Assuming that the physician really des have some ability to make these predictions, what would you recommend that he do to increase the likelihood that he can convince the skeptic?