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1) You want to determine if the proportion of people who will vote for the president...

1) You want to determine if the proportion of people who will vote for the president next year has increased due to current events. You take a simple random sample of 1100 individuals and find that 897 of them said that they will be voting in the election. Construct a 95% confidence interval, by hand (mean using the equations in the section). And then write the conclusion to the confidence interval in a complete sentence.

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Math   Statistics-And-Probability   
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Answer #1

= 897/1100 = 0.815

At 95% confidence level, the critical value is z0.025 = 1.96

The 95% confidence interval is

+/- z0.025 * sqrt((1 - )/n)

= 0.815 +/- 1.96 * sqrt(0.815(1 - 0.815)/1100)

= 0.815 +/- 0.0229

= 0.7921, 0.8379

We are 95% confident that the true proportion of people who will vote for president next year lies in the above confience interval.

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