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Some dentists were interested in studying the fusion of
Chapter 7, Problem 11E(choose chapter or problem)
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: