Concluding a Test for a Population Proportion

Concluding a Test for a Population Proportion is topic 6.6 of AP Statistics, inside Inference for Categorical Data: Proportions. This page works through three real practice questions on it, with the full reasoning behind each credited answer.

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37 questionsStatistical Argumentation100% with a figure
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Three real concluding a test for a population proportion questions

From the practice pool, not the mock papers — each with the reasoning that produces the answer.

100% of them come with a figure. Reading the graph or diagram correctly is most of the work here before any content knowledge applies.

100% test a single AP skill: Statistical Argumentation. That makes this topic unusually predictable to prepare for.

Statistical Argumentation · with figure

A one-proportion z test based on a random sample with test conditions satisfied is performed for H0: p = 0.40 versus Ha: p > 0.40. The p-value is 0.018. At significance level 0.05, which conclusion is appropriate?

  1. AFail to reject H0 because 0.018 is less than 0.05.
  2. BReject H0; there is convincing evidence that the population proportion equals 0.40.
  3. CThe P-value or confidence level is the probability that the null hypothesis is true after the sample is observed.
  4. DFail to reject H0; the sample proves the population proportion is less than 0.40.
  5. EReject H0; there is convincing evidence that the population proportion is greater than 0.40.correct
Why E is correct

Because the p-value 0.018 is less than alpha = 0.05, reject H0. The alternative is p > 0.40, so the conclusion must state evidence that the population proportion is greater than 0.40.

One-proportion test conclusion: in the "A one-proportion z test based on a random sample with test conditions satisfied is performed for H0: p = 0.40 versus Ha: p > 0.40. The p-value is 0.018. At significance level 0.05, which conclusion is appropriate?" setting, especially greater, state the hypotheses, compute the relevant test evidence, and conclude in context. The professional check is to keep the values 0, 0.40, 0.018, 0.05, 0.4, the hypothesis test conclusion method, and the final answer choice aligned with Inference for Categorical Data: Proportions.

Statistical Argumentation · with figure

A test about mean refill amount below target gives p-value 0.012. At alpha = 0.05, what is the correct decision?

  1. AAccept H0.
  2. BAccept H0 as proven.
  3. CFail to reject H0.
  4. DReject H0.correct
  5. EAccept Ha as proven.
Why D is correct

0.012 is less than 0.05, so reject H0.

p-value decision for mean refill amount below target: in the "A test about mean refill amount below target gives p-value 0.012. At alpha = 0.05, what is the correct decision?" setting, especially mean refill amount below target; reject; refill target, state the hypotheses, compute the relevant test evidence, and conclude in context. The professional check is to keep the values 0.012, 0.05, the hypothesis decision method, and the final answer choice aligned with Inference for Categorical Data: Proportions.

Statistical Argumentation · with figure

A test about difference in two app conversion rates gives p-value 0.074. At alpha = 0.1, what is the correct decision?

  1. AAccept H0.
  2. BFail to reject H0.
  3. CAccept H0 as proven.
  4. DAccept Ha as proven.
  5. EReject H0.correct
Why E is correct

0.074 is less than 0.1, so reject H0.

p-value decision for difference in two app conversion rates: in the "A test about difference in two app conversion rates gives p-value 0.074. At alpha = 0.1, what is the correct decision?" setting, especially difference in two app conversion rates; reject; app conversion, state the hypotheses, compute the relevant test evidence, and conclude in context. The professional check is to keep the values 0.074, 0.1, the hypothesis decision method, and the final answer choice aligned with Inference for Categorical Data: Proportions.

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Last reviewed 2026-08-28. Topic and unit names follow the College Board course framework. Question counts describe the PrepScore practice bank, not the exam.
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