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For a population with a proportion equal to 0
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.)
Expert Solution
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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