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 90% two-sided confidence interval on the true proportion of rats that would show underweight from the experiment. Round your answers to 3 decimal places. b. Using the point estimate of p obtained from the preliminary sample, what sample size is needed to be 90% confident that the error in estimating the true value of p is no more than 0.02? c. How large must the sample be if we wish to be at least 90% confident that the error in estimating p is less than 0.02, regardless of the true value of p?

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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 90% two-sided confidence interval on the true proportion of rats that would
show underweight from the experiment. Round your answers to 3 decimal places.
b. Using the point estimate of p obtained from the preliminary sample, what sample size is
needed to be 90% confident that the error in estimating the true value of p is no more
than 0.02?
c. How large must the sample be if we wish to be at least 90% confident that the error in
estimating p is less than 0.02, regardless of the true value of p?

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