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  3. ZuAI AP College Board Statistics
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Setting Up a Test for a Population Proportion

Next Topic - Interpreting p-Values
Study Guide Overview

This study guide covers the one-proportion z-test for AP Statistics. It includes formulating null and alternative hypotheses, checking conditions (random, independent, normal), calculating the z-score and p-value, interpreting results, understanding Type I and Type II errors, and applying these concepts in practice questions and exam tips.

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Previous Topic - Justifying a Claim Based on a Confidence Interval for a Population ProportionNext Topic - Interpreting p-Values

Question 1 of 14

A researcher is investigating if the true proportion of people who prefer tea over coffee is 60%. What is the correct way to state the null hypothesis?

H0:p>0.6H_0: p > 0.6H0​:p>0.6

H0:p<0.6H_0: p < 0.6H0​:p<0.6

H0:p=0.6H_0: p = 0.6H0​:p=0.6

H0:p≠0.6H_0: p \neq 0.6H0​:p=0.6