Political polls typically sample randomly from the U.S population to investigate the percentage of voters who favor some candidate or issue. The number of people polled is usually on the order of 1000. Suppose that one such poll asks voters how they feel about the President’s handling of the crisis in the financial markets. The results show that 575 out of the 1280 people polled say they either “approve” or “strongly approve” of the President’s handling of this matter. Based on the sample referenced above, find a 95% confidence interval estimate for the proportion of the entire voter population who “approve” or “strongly approve” of the President’s handling of the crisis in the financial markets.
Now, here’s an interesting twist. If the same sample proportion was found in a sample twice as large—that is, 1150 out of 2560—how would this affect the confidence interval?
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1. Political polls typically sample randomly from the U.S
population to investigate the percentage of voters who favor
some candidate or issue. The number of people polled is usually
on the order of 1000. Suppose that one such poll asks voters
how they feel about the President’s handling of the crisis in the
financial markets. The results show that 575 out of the 1280
people polled say they either “approve” or “strongly approve”
of the President’s handling of this matter. Based on the sample
referenced above, find a 95% confidence interval estimate for
the proportion of the entire voter population who “approve” or
“strongly approve” of the President’s handling of the crisis in
the financial markets.
Now, here’s an interesting twist. If the same sample proportion
was found in a sample twice as large—that is, 1150 out of
2560—how would this affect the confidence interval?
