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If n = 140 and X = 112, construct a 95% confidence interval for the population proportion, p.

Give your answers to three decimals

Respuesta :

abidemiokin

The confidence interval for the population proportion, p is (0.766, 0.833)

Confidence interval

The formula for calculating the confidence interval for proportion is expressed as:

CI = p±√pq/n

Given the following

p = 112/140 = 0.8

q = 1-p = 0.2

Substitute

CI = 0.8±√(0.8)(0.2)/140

CI = 0.8±0.0338

CI = (0.766, 0.833)

Hence the confidence interval for the population proportion, p is (0.766, 0.833)

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