Question

A friend of yours claims that they are a 75% free-throw shooter in basketball. You don't think she is that good and want to test her to gather evidence that she makes less than 75% of her free throws in the long run. You have her shoot 40 free throws and she makes 26 (or 65%) of them. Which of the following is the correct way to set up the hypotheses for this test?

Answer 1

The correct way to set up the hypotheses for this test is to have a null hypothesis stating that the basketball player's free-throw shooting percentage is greater than or equal to 75%, and an alternative hypothesis stating that the basketball player's free-throw shooting percentage is less than 75%.

Step-by-step explanation:

The correct way to set up the hypotheses for this test is:

• Null Hypothesis (H0): The basketball player's free-throw shooting percentage is greater than or equal to 75%.
• Alternative Hypothesis (H1): The basketball player's free-throw shooting percentage is less than 75%.

By setting up these hypotheses, you are assuming that the friend's claim of being a 75% free-throw shooter is the baseline or expected outcome (null hypothesis), and you are testing whether the evidence from shooting 40 free throws supports the alternative hypothesis that the shooting percentage is less than 75%.