4. A polling organization interviews 500 randomly chosen voters to estimate the percentage thatwill vote for Gareth Phlugg.a) If, in fact, only 48% of all voters support him, what is the chance that the poll willmistakenly predict that he will get over 50% of the votes and win the election?b) If 270 of the 500 in the sample support Gareth, give a 95% confidence interval for thepercentage of all voters that will support him.

Name: 4. A polling organization interviews 500 randomly chosen voters to es
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Description: 4. A polling organization interviews 500 randomly chosen voters to estimate the percentage thatwill vote for Gareth Phlugg.a) If, in fact, only 48% of all voters support him, what is the chance that the poll willmistakenly predict that he will get o

4.a Population proportion, p = 48% =0.48 number of samples, n = 500 Therefore sample proportion, p^…

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A polling organization interviews 500 randomly chosen voters to estimate the percentage that ill vote for Gareth Phlugg. a) If, in fact, only 48% of all voters support him, what is the chance that the poll will istakenly predict that he will get over 50% of the votes and win the election? b) If 270 of the 500 in the sample support Gareth, give a 95% confidence interval for the rcentage of all voters that will support him.

A polling organization interviews 500 randomly chosen voters to estimate the percentage that ill vote for Gareth Phlugg. a) If, in fact, only 48% of all voters support him, what is the chance that the poll will istakenly predict that he will get over 50% of the votes and win the election? b) If 270 of the 500 in the sample support Gareth, give a 95% confidence interval for the rcentage of all voters that will support him.

MATLAB: An Introduction with Applications

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Author:Amos Gilat

Publisher:Amos Gilat

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Concept explainers

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.

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Question

4. A polling organization interviews 500 randomly chosen voters to estimate the percentage that
will vote for Gareth Phlugg.
a) If, in fact, only 48% of all voters support him, what is the chance that the poll will
mistakenly predict that he will get over 50% of the votes and win the election?
b) If 270 of the 500 in the sample support Gareth, give a 95% confidence interval for the
percentage of all voters that will support him.

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