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If Y1/n and Y2/n are the respective independent relative

Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman ISBN: 9780321923271 41

Solution for problem 14E Chapter 7.4

Probability and Statistical Inference | 9th Edition

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Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

Probability and Statistical Inference | 9th Edition

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Problem 14E

If \(Y_{1} / n\) and \(Y_{2} / n\) are the respective independent relative frequencies of success associated with the two binomial distributions \(b\left(n, p_{1}\right)\) and \(b\left(n, p_{2}\right)\), compute \(n\) such that the approximate probability that the random interval \(\left(Y_{1} / n-Y_{2} / n\right) \pm 0.05\) covers \(p_{1}-p_{2}\) is at least \(0.80\). Hint: Take \(p_{1}^{*}=p_{2}^{*}=1 / 2\) to provide an upper bound for \(n\).

Equation Transcription:

 

 

 

Text Transcription:

Y_1/n  

Y_2/n

b(n,p_1)  

b(n,p_2)

(Y_1/n-Y_2/n)pm0.05

p_1-p_2

 0.80

p-1^*=p_2^*=1/2

n

Step-by-Step Solution:

Step 1 of 4

From the question given that :

Step 2 of 4

Chapter 7.4, Problem 14E is Solved
Step 3 of 4

Textbook: Probability and Statistical Inference
Edition: 9
Author: Robert V. Hogg, Elliot Tanis, Dale Zimmerman
ISBN: 9780321923271

Since the solution to 14E from 7.4 chapter was answered, more than 274 students have viewed the full step-by-step answer. This full solution covers the following key subjects: approximate, associated, binomial, Bound, compute. This expansive textbook survival guide covers 59 chapters, and 1476 solutions. This textbook survival guide was created for the textbook: Probability and Statistical Inference , edition: 9. The answer to “?If \(Y_{1} / n\) and \(Y_{2} / n\) are the respective independent relative frequencies of success associated with the two binomial distributions \(b\left(n, p_{1}\right)\) and \(b\left(n, p_{2}\right)\), compute \(n\) such that the approximate probability that the random interval \(\left(Y_{1} / n-Y_{2} / n\right) \pm 0.05\) covers \(p_{1}-p_{2}\) is at least \(0.80\). Hint: Take \(p_{1}^{*}=p_{2}^{*}=1 / 2\) to provide an upper bound for \(n\).Equation Transcription: Text Transcription:Y_1/n Y_2/n b(n,p_1) b(n,p_2) (Y_1/n-Y_2/n)pm0.05 p_1-p_2 0.80 p-1^*=p_2^*=1/2 n” is broken down into a number of easy to follow steps, and 74 words. Probability and Statistical Inference was written by and is associated to the ISBN: 9780321923271. The full step-by-step solution to problem: 14E from chapter: 7.4 was answered by , our top Statistics solution expert on 07/05/17, 04:50AM.

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If Y1/n and Y2/n are the respective independent relative