Question
A poll on a proposition showed that we are $95 \%$ confident that the population proportion of voters supporting it is between $40 \%$ and $48 \%$. Find the margin of error.
Step 1
40$ and $P$ hat plus the margin of error is $0.48$. We can write these as two equations: \[P_{hat} - E = 0.40\] \[P_{hat} + E = 0.48\] Show more…
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A poll on a proposition showed that we are $99 \%$ confident that the population proportion of voters supporting it is between $52 \%$ and $62 \%$. Find the margin of error.
A poll on a proposition showed that we are $95 \%$ confident that the population proportion of voters supporting it is between $40 \%$ and $48 \%$. Find the sample proportion that supported the proposition.
The margin of error for a poll is 4 percent. This means that there is a 95 percent confidence that the true value of the sample statistic is within 4 percent of the observed value. 4 percent of those sampled did not answer the question asked. People's confidence in the statistic is 4 percent. 4 percent of those sampled gave the wrong answer to the question asked. There is a 95 percent confidence that the sample statistic is within 4 percent of the population parameter.
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