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A sample survey of 300 union members in New York State reveals a sample proportion of...

A sample survey of 300 union members in New York State reveals a sample proportion of 37% that favor the Republican candidate for governor. Construct the 98% confidence interval for the true population proportion of all New York State union members who favor the Republican candidate.

Math   Statistics-And-Probability   
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Answer #1

Given that,

Sample proportion = 0.37

98% confidence interval for p is

- Z/2 * Sqrt((1-) / n) < p < + Z/2 * Sqrt((1-) / n)

0.37 - 2.3263 * sqrt( 0.37 * 0.63 / 300) < p < 0.37 + 2.3263 * sqrt( 0.37 * 0.63 / 300)

0.3052 < p < 0.4348

98% CI is ( 0.3052 , 0.4348 )

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