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Course: AP®︎/College Statistics > Unit 10

Lesson 4: Setting up a test for a population proportion
Math
AP®︎/College Statistics
Inference for categorical data: Proportions
Setting up a test for a population proportion
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Writing hypotheses for a test about a proportion

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Problem

Amanda read a report saying that 49% of teachers in the United States were members of a labor union. She wants to test whether this holds true for teachers in her state, so she is going to take a random sample of these teachers and see what percent of them are members of a union.
Let p represent the proportion of teachers in her state that are members of a union.
Which of the following is an appropriate set of hypotheses for her significance test?
Choose 1 answer: