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In: Statistics and Probability

A 95% confidence interval for a difference in proportions p1-p2 if the samples have n1=60 with...

A 95% confidence interval for a difference in proportions p1-p2 if the samples have n1=60 with p^1=0.69 and n2=60 with p^2=0.56, and the standard error is SE=0.09.

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Expert Solution

Solution:

Point estimate of difference between two proportions

= ₁ - ₂

= 0.69 - 0.56

= 0.13

Our aim is to construct 95% confidence interval.

c = 0.95

= 1- c = 1- 0.95 = 0.05

/2 = 0.025

= 1.96 (use z table)

Margin of error = * =

= 1.96 * 0.09

= 0.1764

Required interval is

Point estimate Margin of error

0.13 0.1764

(0.13 - 0.1764 , 0.13 + 0.1764)

(-0.0464, 0.3064)

Required 95% confidence interval is (-0.0464, 0.3064)

orchestra answered 1 year ago

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