Solution Found!
If Y1/n and Y2/n are the respective independent relative
Chapter 7, Problem 14E(choose chapter or problem)
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
Questions & Answers
QUESTION:
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
ANSWER:
Step 1 of 4
From the question given that :