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Two-Sample Proportions Inference

Sampling Distributions for the difference in proportions . When tossing pennies, the probability of the coin landing on heads is 0.5. However, when spinning the coin, the probability of the coin landing on heads is 0.4. Let's investigate.Pairs of students will be given pennies and assigned to ei

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Two-Sample Proportions Inference

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    1. Two-Sample Proportions Inference

    2. Sampling Distributions for the difference in proportions When tossing pennies, the probability of the coin landing on heads is 0.5. However, when spinning the coin, the probability of the coin landing on heads is 0.4. Let’s investigate. Pairs of students will be given pennies and assigned to either Looking at the sampling distribution of the difference in sample proportions: What is the mean of the difference in sample proportions (flip - spin)? What is the standard deviation of the difference in sample proportions (flip - spin)? Can the sampling distribution of difference in sample proportions (flip - spin) be approximated by a normal distribution?

    3. Assumptions: Two, independent SRS’s from populations Populations at least 10n Normal approximation for both

    4. Formula for confidence interval:

    10. Hypothesis statements: H0: p1 = p2 Ha: p1 > p2 Ha: p1 < p2 Ha: p1 ? p2

    12. Formula for Hypothesis test:

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