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AP Statistics 3.5 Setting Up a Test for a Population Proportion Questions

Practise setting up tests for one population proportion by defining the parameter in context, choosing the correct z-test, and translating a claim into hypotheses.

Syllabus
Effective Fall 2026
Course
AP Statistics

Exam points

  • Define p as the true population proportion for the response and population in context.
  • Choose a one-sample z-test for one population proportion rather than a two-proportion procedure.
  • Place equality in the null hypothesis and match the alternative direction to the research claim.

Covered syllabus points

3.5.A—Identify an appropriate testing method for a population proportion including the parameter for the population…3.5.B—Identify the null and alternative hypotheses for a population proportion3.5.C—Justify the appropriateness of a hypothesis test for a population proportion by verifying conditions

Question 1

[Maximum number: 2]

Researchers want to study whether a capuchin monkey named Rafiki can correctly predict (better than guesswork) whether the Dow Jones Industrial Average (DJIA) will go up or down on any given day. In a random sample of 10 days, Rafiki correctly predicted the rise or fall of the DJIA on 7 of the 10 days. (He did this by choosing to eat a banana from either a box with an "up" arrow or a box with a "down" arrow.)

Question (a)

(a)

Identify the parameter of interest.

[ 1 ]

Question (b)

(b)

Identify the null and alternative hypotheses.

[ 1 ]
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