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AP®︎/College Statistics

Unit 10: Lesson 4

Setting up a test for a population proportion

Writing hypotheses for a test about a proportion

AP.STATS: VAR‑6 (EU), VAR‑6.D (LO), VAR‑6.D.1 (EK), VAR‑6.D.2 (EK), VAR‑6.D.3 (EK), VAR‑6.D.4 (EK), VAR‑6.D.5 (EK)

Amanda read a report saying that 49, percent 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:

(Choice A)
$\begin{aligned} &H_0: p = 0.49 \\ &H_\text{a}: p \neq 0.49 \end{aligned}$
(Choice B)
$\begin{aligned} &H_0: p \neq 0.49 \\ &H_\text{a}: p = 0.49 \end{aligned}$
(Choice C)
$\begin{aligned} &H_0: p = 0.49 \\ &H_\text{a}: p < 0.49 \end{aligned}$
(Choice D)
$\begin{aligned} &H_0: p = 0.49 \\ &H_\text{a}: p > 0.49 \end{aligned}$

Stuck?

AP®︎/College Statistics

Unit 10: Lesson 4

Problem