an approximate 80% confidence interval for t m each of these values of the sample proporti s contain the value of the population proporti s would you expect to contain the value of the

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Jelly beans are packed in boxes of 50, and the overall proportion of black jelly beans is
set by the manufacturer to be 0.2. Suppose that 10 boxes of jelly beans are selected at
random, and the proportion of black jelly beans in each box determined.
a Use your calculator to generate 10 values of the sample proportidn p of black jelly
beans in a box.
b Use your calculator to find an approximate 80% confidence interval for the
population proportion p from each of these values of the sample proportion p.
c How many of these intervals contain the value of the population proportion p?
d How many of these intervals would you expect to contain the value of the population
proportion p?
e Suppose that we generate 50 approximate 80% confidence intervals for p. How
many of these intervals would you expect to contain the value of the population
proportion p?
Transcribed Image Text:Jelly beans are packed in boxes of 50, and the overall proportion of black jelly beans is set by the manufacturer to be 0.2. Suppose that 10 boxes of jelly beans are selected at random, and the proportion of black jelly beans in each box determined. a Use your calculator to generate 10 values of the sample proportidn p of black jelly beans in a box. b Use your calculator to find an approximate 80% confidence interval for the population proportion p from each of these values of the sample proportion p. c How many of these intervals contain the value of the population proportion p? d How many of these intervals would you expect to contain the value of the population proportion p? e Suppose that we generate 50 approximate 80% confidence intervals for p. How many of these intervals would you expect to contain the value of the population proportion p?
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