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Out of 500 people sampled, 120 preferred Candidate A. Based on this, find a 95% confidence...

Out of 500 people sampled, 120 preferred Candidate A. Based on this, find a 95% confidence level for the true proportion of the voting population ( p ) prefers Candidate A.

Give your answers as decimals, to three places. < p<

Math   Statistics-And-Probability   
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Answer #1

Sample proportion = 120 / 500 = 0.24

95% confidence interval for p is

- z * sqrt((1- ) / n) < p < + z * sqrt ( (1-) / n)

0.24 - 1.96 * sqrt( 0.24 ( 1- 0.24) / 500 < p < 0.24 + 1.96 * sqrt( 0.24 ( 1- 0.24) / 500)

0.203 < p < 0.277

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