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Understanding Statistical Comparisons of Two Proportions in AP Statistics

This section covers the foundational concepts of comparing two proportions in AP Statistics. It highlights the sampling distribution of the difference between two proportions, which can be approximated as normal under certain conditions. The text includes a practical example focusing on a study of pre-school effects on social service usage, detailing how to calculate a 95% confidence interval. Additionally, it outlines the steps for conducting hypothesis tests and interpreting results, along with suggested assignments for deeper understanding.

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Understanding Statistical Comparisons of Two Proportions in AP Statistics

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Presentation Transcript

  1. Section 12.2Comparing Two Proportions AP Statistics

  2. Our inferential work so far… • Has been about the distribution of sample means • and the distribution of the difference of sample means. • and the distribution of sample proportions

  3. The sampling distribution of the difference of proportions

  4. If these conditions are met, the sampling distribution of difference of proportions is approximately normal The shape of the sampling distribution of difference of proportions

  5. Two proportion confidence interval

  6. Example • A study investigated the effect of pre-school on use of social services. • What is the 95% confidence interval?

  7. Calculate the Confidence Interval 3: Calculations 1: Populations & Parameter of Interest 2: Procedure Name & Conditions 4: Interpret

  8. 3: Calculations 1: Population, Parameter of Interest, H0 and Ha 2: Procedure Name & Conditions 4: Interpret

  9. 3: Calculations 1: Population, Parameter of Interest, H0 and Ha 2: Procedure Name & Conditions 4: Interpret

  10. Assignment • Section 12.3: 12.23-12.33 odd • Chapter Review: 12.35-12.45 odd

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