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Joshua plays basketball, and he learned a new technique for shooting free
throws. He decided to shoot 50 free throws with his old technique and 50
with the new technique to see if there was a difference in his performance.
He made 30 of 50 free throws using his old technique, and he made 38 of
50 using the new technique. He took these shots over multiple days and
alternated techniques, so he's willing to assume his data satisfy the
conditions for inference.
Joshua wants to test if these results suggest a significant difference
between the proportions of free throws made with each technique.
Choose 1 answer:
Which of the following would be an appropriate test statistic for their
test?

z=

Answer 1

The appropriate test statistic to test for a significant difference in free throw proportions is the z-test statistic.

Step-by-step explanation:

The appropriate test statistic to test if there is a significant difference between the proportions of free throws made with each technique is the z-test statistic. The z-test calculates the p-value by doing a normal probability calculation. By comparing the p-value to the significance level, you can determine if there is enough evidence to reject the null hypothesis.