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 99% two-sided confidence interval on the true proportion of rats that would show underweight from the

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.3: Measures Of Spread
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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 99% two-sided confidence interval on the true proportion of rats that would show underweight from the
experiment. Round your answers to 3 decimal places.
≤p≤ i
i
(b) Using the point estimate of p obtained from the preliminary sample, what sample size is needed to be 99% confident that
the error in estimating the true value of p is no more than 0.02?
n = i
(c) How large must the sample be if we wish to be at least 99% confident that the error in estimating p is less than 0.02,
regardless of the true value of p?
n =
i
Transcribed Image Text: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 99% two-sided confidence interval on the true proportion of rats that would show underweight from the experiment. Round your answers to 3 decimal places. ≤p≤ i i (b) Using the point estimate of p obtained from the preliminary sample, what sample size is needed to be 99% confident that the error in estimating the true value of p is no more than 0.02? n = i (c) How large must the sample be if we wish to be at least 99% confident that the error in estimating p is less than 0.02, regardless of the true value of p? n = i
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