Some dentists were interested in studying the fusion of

Chapter 7, Problem 11E

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QUESTION:

Some dentists were interested in studying the fusion of embryonic rat palates by a standard transplantation technique. When no treatment is used, the probability of fusion equals approximately \(0.89\). The dentists would like to estimate \(p\), the probability of fusion, when vitamin \(\mathrm{A}\) is lacking.

(a) How large a sample \(n\) of rat embryos is needed for \(y / n \pm 0.10\) to be a \(95 \%\) confidence interval for \(p\) ?

     

(b) If \(y=44 \) out of \(n=60\)  palates showed fusion, give a \(95 \%\) confidence interval for \(p\).

Equation Transcription:

 

Text Transcription:

0.89  

p  

y/n pm 0.10  

95%  

y=44

n=60

Questions & Answers

QUESTION:

Some dentists were interested in studying the fusion of embryonic rat palates by a standard transplantation technique. When no treatment is used, the probability of fusion equals approximately \(0.89\). The dentists would like to estimate \(p\), the probability of fusion, when vitamin \(\mathrm{A}\) is lacking.

(a) How large a sample \(n\) of rat embryos is needed for \(y / n \pm 0.10\) to be a \(95 \%\) confidence interval for \(p\) ?

     

(b) If \(y=44 \) out of \(n=60\)  palates showed fusion, give a \(95 \%\) confidence interval for \(p\).

Equation Transcription:

 

Text Transcription:

0.89  

p  

y/n pm 0.10  

95%  

y=44

n=60

ANSWER:

Step 1 of 5

(a)

Given:

 

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