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AP Statistics 3.12.B Writing Two-Proportion Hypotheses

Practise defining two contextual population proportions and writing equal-proportion null hypotheses with two-sided alternatives for a difference between groups.

Syllabus
Effective Fall 2026
Course
AP Statistics

Exam points

  • Define both population proportions in context before writing the hypotheses.
  • Write H0 as equal proportions and Ha as not equal for a two-sided difference claim.

3.12.B—Identify the null and alternative hypotheses for the difference between population proportions question 1

A survey conducted by a national research center in 2018 asked a random sample of people over age 12 years old in the United States whether it is very important to them personally to have a lot of money. Responses are summarized based on age in the following table of counts.
\begin{tabular}[t]{|l|l|l|}
\hline & Adults & Teenagers \\
\hline Very important & 281 & 86 \\
\hline Not very important & 180 & 168 \\
\hline Total & 461 & 254 \\
\hline
\end{tabular}

Figure for Question 3.12.B—Identify the null and alternative hypotheses for the difference between population proportions question 1 — AP Statistics

Identify the appropriate test and state the hypotheses.

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