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.

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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.
Transcribed Image Text: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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