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AP Statistics 3.9 C Interpret the Mean Standard Deviation and Probabilities for the Sampling Distribution for the Difference Questions

Practise interpreting sampling distributions for differences in sample proportions by locating the centre, assessing shape, and calculating standardized tail probabilities.

Syllabus
Effective Fall 2026
Course
AP Statistics

Exam points

  • Centre p-hat1 minus p-hat2 at the corresponding population-proportion difference.
  • Use the two-proportion standard deviation to standardize a cutoff and find its tail probability.
  • Recognise an approximately normal simulation centred near the population-proportion difference.

AP Statistics 3.9 C Interpret the Mean Standard Deviation and Probabilities for the Sampling Distribution for the Difference Questions question 1

[Maximum number: 1]

An international polling agency estimates that 36 percent of adults from Country X were first married between the ages of 18 and 32, and 26 percent of adults from Country Y were first married between the ages of 18 and 32. Based on the estimates, which of the following is closest to the probability that the difference in proportions between a random sample of 60 adults from Country X and a random sample of 50 adults from Country Y (Country X minus Country Y) who were first married between the ages of 18 and 32 is greater than 0.15 ?

A

0.1398

B

0.2843

C

0.4315

D

0.5685

E

0.7157

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