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jok3333
2 months ago
6

A random sample of 150 people was taken from a very large population. ninety of the people in the sample were female. the standa

rd error of the proportion is
Mathematics
2 answers:
zzz [12.3K]2 months ago
8 0

Answer:  0.04

Step-by-step explanation:

  • The standard error for the proportion indicates how much the sample proportions vary around the mean of the population.

Given: Sample size: n= 150

Number of females in the sample: x= 90

Proportion of females = \hat{p}=\dfrac{x}{n}=\dfrac{90}{150}=0.6

Standard error of proportions:

SE=\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}, where \hat{p} represents sample proportion and n is the sample size.

By substituting the relevant values, we have

SE=\sqrt{\dfrac{0.6(1-0.6)}{150}}

SE=\sqrt{\dfrac{0.6 (0.4)}{150}}

SE=\sqrt{0.0016}=0.04

Therefore, the standard error for the proportion amounts to 0.04.

babunello [11.8K]2 months ago
4 0
The standard error is entirely inaccurate at 100% since it is not feasible for females to constitute 90% of the sample population.
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