An article in the Journal of the American Statistical Association [Illustration of Bayesian Inference in Normal Data Models Using Gibbs Sampling" (1990, Vol. 85, pp. 972-985)] measured the weight of 30 rats under experiment controls. Suppose that 12 were underweight rats. (a) Calculate a 95% two-sided confidence interval on the true proportion of rats that would show underweight from the experiment. (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 less than 0.02? (c) If we don't have any previous information about p, what sample size is needed to be 95% confident that the error in estimating the true value of p is less than 0.02 ? (b) Using the point estimate of p obtained from the preliminary sam- ple, what sample size is needed to be 95% confident that the error in estimating the true value of p is less than 0.02? (c) If we don't have any previous information about p, what sample size is needed to be 95% confident that the error in estimating the true value of p is less than 0.02?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
An article in the Journal of the American Statistical Association ['Illustration of Bayesian Inference in Normal Data Models
Using Gibbs Sampling" (1990, Vol. 85, pp. 972-985)] measured the weight of 30 rats under experiment controls.
Suppose that 12 were underweight rats. (a) Calculate a 95% two-sided confidence interval on the true proportion of rats
that would show underweight from the experiment. (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 less than
0.02? (c) If we don't have any previous information about p, what sample size is needed to be 95% confident that the
error in estimating the true value of p is less than 0.02 ?
(b) Using the point estimate of p obtained from the preliminary sam-
ple, what sample size is needed to be 95% confident that the error
in estimating the true value of p is less than 0.02?
(c) If we don't have any previous information about p, what sample
size is needed to be 95% confident that the error in estimating the
true value of p is less than 0.02?
Transcribed Image Text:An article in the Journal of the American Statistical Association ['Illustration of Bayesian Inference in Normal Data Models Using Gibbs Sampling" (1990, Vol. 85, pp. 972-985)] measured the weight of 30 rats under experiment controls. Suppose that 12 were underweight rats. (a) Calculate a 95% two-sided confidence interval on the true proportion of rats that would show underweight from the experiment. (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 less than 0.02? (c) If we don't have any previous information about p, what sample size is needed to be 95% confident that the error in estimating the true value of p is less than 0.02 ? (b) Using the point estimate of p obtained from the preliminary sam- ple, what sample size is needed to be 95% confident that the error in estimating the true value of p is less than 0.02? (c) If we don't have any previous information about p, what sample size is needed to be 95% confident that the error in estimating the true value of p is less than 0.02?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 10 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman