Identify the null and alternative hypotheses for a population proportion.
Example Problems
A soccer player has historically converted of her penalty kicks. After switching to a new pair of cleats, she wants to test if her conversion rate has changed.
Let represent the proportion of penalty kicks she converts in the new cleats.
State the null hypothesis, , for this test.
Let represent the proportion of penalty kicks she converts in the new cleats.
State the null hypothesis, , for this test.
A soccer player has historically converted of her penalty kicks. After switching to a new pair of cleats, she wants to test if her conversion rate has changed.
Let represent the proportion of penalty kicks she converts in the new cleats.
State the alternative hypothesis, , for this test.
Let represent the proportion of penalty kicks she converts in the new cleats.
State the alternative hypothesis, , for this test.
A high school basketball player made of her free throws last season. Over the summer, she worked with a new coach and wanted to test if her free throw percentage had improved. She tracked a random sample of her free throws this season to see what proportion she made.
State the alternative hypothesis, , for this test.
State the alternative hypothesis, , for this test.
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