Question

determine the point estimate of the population proportion , the margin of error for the following confidence interval, and the number of individuals in the sample with the specified characteristic, x. for the sample size provided.
lower bound= 0.219, upper bound = 0.711, n = 1200
the point estimate of the population proportion is?

Answer 1

The Lower Bound = - ME = 0.219 ----- (1)

The Upper Bound = + ME = 0.711 ------ (2)

Adding the 2 equations, we get: - ME + + ME = 0.219 + 0.711

Therefore 2 * = 0.93

= 0.93 / 2 = 0.465

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To calculate the ME, We do the operation Equation (2) - Equation (1)

+ ME - ( - ME) = 0.711 - 0.219

2 * ME = 0.492

ME = 0.492 / 2 = 0.246

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