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Basic Computation: Confidence Interval for p₁ - p2 Consider two independent binomial experiments. In the first one, 40 trials had 15 successes. In the second one, 60 trials had 6 successes. a. Check Requirements Is it appropriate to use a normal distribution to approximate the p₁₂ distribution? Explain. b. Find a 95% confidence interval for p₁ - P2. c. Interpretation Based on the confidence interval you computed, can you be 95% confident that p₁ is more than p₂? Explain.

Basic Computation: Confidence Interval for p₁ - p2 Consider two independent binomial experiments. In the first one, 40 trials had 15 successes. In the second one, 60 trials had 6 successes. a. Check Requirements Is it appropriate to use a normal distribution to approximate the p₁₂ distribution? Explain. b. Find a 95% confidence interval for p₁ - P2. c. Interpretation Based on the confidence interval you computed, can you be 95% confident that p₁ is more than p₂? Explain.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Basic Computation: Confidence Interval for p₁ - p2 Consider two independent binomial experiments. In the first one, 40 trials had 15 successes. In the second one, 60 trials had 6 successes. a. Check Requirements Is it appropriate to use a normal distribution to approximate the p₁₂ distribution? Explain. b. Find a 95% confidence interval for p₁ - P2. c. Interpretation Based on the confidence interval you computed, can you be 95% confident that p₁ is more than p₂? Explain.
Transcribed Image Text:Basic Computation: Confidence Interval for p₁ - p2 Consider two independent binomial experiments. In the first one, 40 trials had 15 successes. In the second one, 60 trials had 6 successes. a. Check Requirements Is it appropriate to use a normal distribution to approximate the p₁₂ distribution? Explain. b. Find a 95% confidence interval for p₁ - P2. c. Interpretation Based on the confidence interval you computed, can you be 95% confident that p₁ is more than p₂? Explain.
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