-0.10-0.050.000.050.100.150.20p1 - p20.020.160Interval for p1 - p2.What does this 95% interval for p1 - p2 suggest?

A convincing difference, with p1 greater than p2

AP Statistics Inference for the Difference of Two Proportions Quiz: 10 Questions with Explanations

AP Statistics math quiz: Inference for the Difference of Two Proportions – Maths PDF

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This two proportions quiz for AP Statistics covers inference for the difference of two proportions (Common Core AP STAT 6.8, AP STAT 6.9, AP STAT 6.10, AP STAT 6.11, HSS-IC.B.5), with a free PDF to print.

Ten multiple-choice questions test pooled versus unpooled standard errors, conditions, and interpretation. Read each explanation before you move on.

AP Statistics · Common Core State Standards: AP STAT 6.8, AP STAT 6.9, AP STAT 6.10, AP STAT 6.11, HSS-IC.B.5

Two proportions quiz: 10 questions

Question 1

Interval for p1 – p2.

What does this 95% interval for p1 – p2 suggest?

Question 2

Two-sided p-value.

What is the two-sided p-value for z = 2.3?

Question 3

Two groups.

What is the pooled proportion?

Question 4

The standard error in a two-proportion confidence interval uses:

Question 5

When H0: p1 = p2, the standard error uses:

Question 6

An experiment’s two groups were formed by random assignment. For a two-proportion procedure, the 10% condition is:

Question 7

A 95% interval for p1 – p2 is (-0.05, 0.03). Which statement is correct?

Question 8

Which is a valid use of a two-sample z procedure?

Question 9

A smaller standard error gives:

Question 10

If p-value = 0.003 for H0: p1 = p2, then at alpha = 0.05:

Remember

Parameter: p1 – p2; statistic: p-hat1 – p-hat2.
Interval: (p-hat1 – p-hat2) +/- z* sqrt(p-hat1(1 – p-hat1)/n1 + p-hat2(1 – p-hat2)/n2).
Test: pooled p-hat_c = (x1 + x2)/(n1 + n2); z = (p-hat1 – p-hat2)/sqrt(p-hat_c(1 – p-hat_c)(1/n1 + 1/n2)).
Conditions: independent random samples (or random assignment); 10% condition; at least 10 successes and 10 failures in each group.
If the interval contains 0, a difference of 0 is plausible; if it does not, there is evidence of a difference.

How to use this two proportions quiz

Answer each question, read the explanation that appears, and keep track of your score. A score of 8 out of 10 or more means you are ready for the test.

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