Question

In a recent survey of 1004 individuals, 442 disapproved of the way Congress handled health care...

In a recent survey of 1004 individuals, 442 disapproved of the way Congress handled health care reform. Find the 95% confidence interval for the true population proportion of individuals that disapproved of the way Congress handled health care reform.

Math   Statistics-And-Probability   
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Answer #1

Solution :

Given that,

n = 1004

x = 442

Point estimate = sample proportion = = x / n = 0.440

1 - = 1- 440 = 0.560

Z/2 = 1.96

Margin of error = E = Z / 2 * (( * (1 - )) / n)

= 1.96 * (0.440(1-0.440) /1004 )

= 0.030

A 95% confidence interval for population proportion p is ,

- E < p < + E

0.440 - 0.030 < p <0.440 + 0.030

0.410< p < 0.470

The 95% confidence interval for the population proportion p is : 0.410 and 0.470

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