A public health study finds that a proportion of adults in a region carry a particular genetic variant. A researcher plans to take a random sample of adults and to use a normal model for the sample proportion. Checking the large-counts condition, which of the following states the correct conclusion and the appropriate action?
sampling distributions for proportions
Review sampling distributions for proportions for AP Statistics and try 2 free AP-style practice questions. 10 questions on this topic in AP Statistics · Unit 2 · Probability, Random Variables, and Probability Distributions.
9 topics124 multiple-choice8 free-response
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An exit poll of a random sample of 1,000 voters found that 53 percent supported a candidate, but the candidate received 51 percent of the vote in the election. A commentator says, "The poll was wrong!" Assuming the poll was properly conducted, which of the following is the best response to the commentator?
Sample free-response question
A basketball player makes 50 percent of her shots, and shots are independent. In one game she made 7 shots in a row. Her coach simulates 10 shots many times to see how often a run of 7 or more makes happens.
(a) Describe how to use random digits to simulate one trial of 10 shots.
(b) In 500 simulated trials, a run of 7 or more makes happened 14 times. Estimate the probability and interpret it.
(c) Does the simulation suggest the player's streak is unusual for a 50% shooter? Explain.
(d) How would the estimate change if the coach ran 5,000 trials instead of 500? Explain.
(e) Identify one assumption of the simulation that might not hold in a real game.
8 more questions on this topic
Full practice for AP Statistics · Unit 2 · Probability, Random Variables, and Probability Distributions: timed tests, step-by-step explanations for every answer, and AI grading for free-response questions.
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Answer, then see why
The price of gasoline rises 10% and the quantity demanded falls 5%. What happens to total revenue?
Not quite. The answer is B.
Why the other options are wrong
AI grading for free-response
Write your FRQ answer and get it scored point by point against the AP rubric, with the line from your answer that earned or missed each point.
Question 13 / 4 pts
Part a1 / 1 pts
Point 1: Earned
Grader confidence 94% sureReason: Correctly identifies demand for gasoline as inelastic.
Evidence: "The price of gasoline rises and the quantity falls only a little."
Part b2 / 3 pts
Point 1: Earned
Grader confidence 91% sureReason: Graph shows relatively inelastic demand.
Evidence: Draws a steep demand curve.
Point 2: Earned
Grader confidence 88% sureReason: Correct new equilibrium price.
Evidence: Shifts supply left, P1 → P2.
Point 3: Not earned
Grader confidence 82% sureReason: With inelastic demand, a price increase raises total revenue.
Evidence: "Revenue goes down."