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If random samples of size 525 were taken from a very large population whose population proportion is 0.3. The standard deviation of the sample proportions (i.e., the standard error of the proportion) is

Respuesta :

JeanaShupp

Answer: 0.02

Step-by-step explanation:

Given: Sample size : [tex]n= 525[/tex]

The population proportion [tex]P=0.3[/tex]

Then, [tex]Q=1-P=1-0.3=0.7[/tex]

The formula to calculate the standard error is given by :-

[tex]S.E.\sqrt{\dfrac{PQ}{n}}[/tex]

[tex]\Rightarrow\ S.E.=\sqrt{\dfrac{0.3\times0.7}{525}}=0.02[/tex]

Hence, the standard deviation of the sample proportions (i.e., the standard error of the proportion) is 0.02.

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