Question

A 98% confidence interval for a population proportion is given as 0.393 < p < 0.555....

A 98% confidence interval for a population proportion is given as 0.393 < p < 0.555. Round your answers to 3 decimal places.

(a) Calculate the sample proportion. p̂ =

(b) Calculate the margin of error. E =

Math   Statistics-And-Probability   
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Answer #1

Solution :

given that

Lower confidence interval = 0.393

Upper confidence interval = 0.555.

(a)

Point estimate = = (Lower confidence interval + Upper confidence interval ) / 2

=   = (0.393+0.555.) / 2

Point estimate = =0.474

(b)

Margin of error = E = Upper confidence interval -

=0.555-0.474

Margin of error = E = 0081.

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