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a recent poll of 1000 people found trump’s approval rating of 35%. find a 95% confidence...

a recent poll of 1000 people found trump’s approval rating of 35%. find a 95% confidence interval for his approval rating.
Math   Statistics-And-Probability   
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Answer #1

Solution :

Given that,

n = 1000

Point estimate = sample proportion = = 0.35

1 - = 0.65

Z/2 = 1.96

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

= 1.96 * (((0.35 * 0.65) / 1000)

= 0.030

A 95% confidence interval for population proportion p is ,

- E < p < + E

0.35 - 0.03 < p < 0.35 + 0.03

0.32 < p < 0.38

A 95% confidence interval for his approval rating is 0.32 to 0.38

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