Arandom sample of 150 people was taken from a very large population. ninety of the people in the sample were female. the standard error of the proportion is

The standard error of the proportion is 0.04

Since the random sample is 150 people and the number of female in the sample is 90 people

First step is to determine the sample proportion (p)

Now let determine the standard error of the proportion  using this formula

Where:

Let plug in the formula

Standard error=\sqrt{(0.6) (0.4)/150}

Inconclusion The standard error of the proportion is 0.04

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 0.04

Step-by-step explanation:

Given : Sample size : n= 150

No. of females in the sample  : x= 90

Proportion of females =

Standard error of proportions :

, where = sample proportion and n= sample size .

Substitute the corresponding values , we get

Hence, the standard error of the proportion is 0.04 .

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