Question

In: Math

Consider a population proportion p = 0.88. a-1. Calculate the expected value and the standard error...

Consider a population proportion p = 0.88.

a-1. Calculate the expected value and the standard error of P−P− with n = 30. (Round "expected value" to 2 decimal places and "standard deviation" to 4 decimal places.)

b-1. Calculate the expected value and the standard error of P−P− with n = 60. (Round "expected value" to 2 decimal places and "standard deviation" to 4 decimal places.)

Expert Solution

Solution

Given that,

p = 0.88

1 - p = 1 - 0.88 = 0.12

(a1)

n = 30

Expected value is ,

= p = 0.88

The standard deviation is

= $\sqrt$ p ( 1 - p ) / n

= $\sqrt$ (0.88 * 0.12) / 30 = 0.0593

(b1)

n = 60

Expected value is ,

= p = 0.88

The standard deviation is

= $\sqrt$ p ( 1 - p ) / n

= $\sqrt$ (0.88 * 0.12) / 60 = 0.0420

milcah answered 4 months ago

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