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Course: AP??/College Statistics?>?Unit 10
Lesson 4: Setting up a test for a population proportion- Constructing hypotheses for a significance test about a proportion
- Writing hypotheses for a test about a proportion
- Conditions for a z test about a proportion
- Reference: Conditions for inference on a proportion
- Conditions for a z test about a proportion
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Writing hypotheses for a test about a proportion
Problem
Amanda read a report saying that 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 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?