AP Statistics · Topic 6.5
Interpreting p-Values Practice
Part of Inference for Categorical Data: Proportions.(VAR-6.C)
Practice questions
10
Sample questions
5 of 10 — sign in to practice the rest with adaptive difficulty and mastery tracking.
Sample 1difficulty 2/5
For Hₐ: p > p₀, the test statistic is z = 1.50.
What is the p-value?
- Acheck_circle
0.0668
- B
0.1336
- C
0.0500
- D
0.9332
Why
P(Z > 1.50) ≈ 0.0668.
- A
Sample 2difficulty 2/5
For Hₐ: p < p₀, the test statistic is z = −1.75.
What is the p-value?
- A
0.9599
- Bcheck_circle
0.0401
- C
0.0250
- D
0.0802
Why
P(Z < −1.75) ≈ 0.0401.
- A
Sample 3difficulty 2/5
Decision rule for hypothesis testing.
With α = 0.10 and p-value = 0.07:
- A
Fail to reject H₀
- Bcheck_circle
Reject H₀
- C
Cannot decide
- D
Accept H₀
Why
0.07 < 0.10, so we reject H₀.
- A
Sample 4difficulty 2/5
A one-sample z-test for proportion with Hₐ: p ≠ p₀ produces z = 2.10.
What is the two-sided p-value?
- A
0.0179
- Bcheck_circle
0.0358
- C
0.0500
- D
0.9821
Why
Two-sided p-value = 2·P(Z > 2.10) = 2·0.0179 = 0.0358.
- A
Sample 5difficulty 3/5
Tests of H₀: p = 0.5. Test A: z = 2.0. Test B: z = 2.5. Both right-tailed.
Which test has the smaller p-value?
- Acheck_circle
Test B.
- B
Test A.
- C
Cannot tell.
- D
Both equal.
Why
Larger |z| produces smaller p-value (further into the tail).
- A