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Homework answers / question archive / For a population with a proportion equal to 0

For a population with a proportion equal to 0

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For a population with a proportion equal to 0.27?, calculate the standard error of the proportion for the following sample sizes.

?a) 50

?b) 100

?c) 150

?a) σp=

nothing

 

 

?(Round to four decimal places as? needed.)

?b) σp=

nothing

 

?(Round to four decimal places as? needed.)

?c) σp=

nothing

 

?(Round to four decimal places as? needed.)

 

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Computation of Standard Error of the Proportion:

a) 50:

Standard Error of the Proportion (σp) = √(p*(1-p)/n) 

= √(0.27*(1-0.27)/50)

= √(0.27*0.73/50)

= √(0.1971/50)

Standard Error of the Proportion (σp) = 0.0628

 

b) 100:

Standard Error of the Proportion (σp) = √(p*(1-p)/n) 

= √(0.27*(1-0.27)/100)

= √(0.27*0.73/100)

= √(0.1971/100)

Standard Error of the Proportion (σp) = 0.0444

 

a) 150:

Standard Error of the Proportion (σp) = √(p*(1-p)/n) 

= √(0.27*(1-0.27)/150)

= √(0.27*0.73/150)

= √(0.1971/150)

Standard Error of the Proportion (σp) = 0.0362

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