An article in Journal of the American Statistical Association (1990, Vol. 85, pp. 972-985) measured weight of 30 rats under experiment controls. Suppose that there are 12 underweight rats. (a) Calculate a 95% two-sided confidence interval on the true proportion of rats that would show underweight from the experiment. Round your answers to 3 decimal places. i
An article in Journal of the American Statistical Association (1990, Vol. 85, pp. 972-985) measured weight of 30 rats under experiment controls. Suppose that there are 12 underweight rats. (a) Calculate a 95% two-sided confidence interval on the true proportion of rats that would show underweight from the experiment. Round your answers to 3 decimal places. i
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![An article in the Journal of the American Statistical Association (1990, Vol. 85, pp. 972–985) measured the weight of 30 rats under experimental controls. Suppose that there are 12 underweight rats.
(a) Calculate a 95% two-sided confidence interval on the true proportion of rats that would show underweight from the experiment. Round your answers to 3 decimal places.
Input boxes for the confidence interval:
\[ \text{[ ]} \leq p \leq \text{[ ]} \]
(b) Using the point estimate of \( p \) obtained from the preliminary sample, what sample size is needed to be 95% confident that the error in estimating the true value of \( p \) is no more than 0.02?
Input box for sample size:
\[ n = \text{[ ]} \]
(c) How large must the sample be if we wish to be at least 95% confident that the error in estimating \( p \) is less than 0.02, regardless of the true value of \( p \)?
Input box for sample size:
\[ n = \text{[ ]} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F453530fe-df7b-40e0-87f7-364c227f8f51%2Fe27051cf-64bf-444d-bb32-20821b81785d%2Fo4tsz18_processed.png&w=3840&q=75)
Transcribed Image Text:An article in the Journal of the American Statistical Association (1990, Vol. 85, pp. 972–985) measured the weight of 30 rats under experimental controls. Suppose that there are 12 underweight rats.
(a) Calculate a 95% two-sided confidence interval on the true proportion of rats that would show underweight from the experiment. Round your answers to 3 decimal places.
Input boxes for the confidence interval:
\[ \text{[ ]} \leq p \leq \text{[ ]} \]
(b) Using the point estimate of \( p \) obtained from the preliminary sample, what sample size is needed to be 95% confident that the error in estimating the true value of \( p \) is no more than 0.02?
Input box for sample size:
\[ n = \text{[ ]} \]
(c) How large must the sample be if we wish to be at least 95% confident that the error in estimating \( p \) is less than 0.02, regardless of the true value of \( p \)?
Input box for sample size:
\[ n = \text{[ ]} \]
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