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latiamason16
01.07.2021 •
Mathematics
In a randomly selected sample of 100 students at a University, 81 of them had access to a computer at home. Give the value of the standard error for the point estimate.
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Ответ:
The value of the standard error for the point estimate is of 0.0392.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean
and standard deviation ![s = \sqrt{\frac{p(1-p)}{n}}](/tpl/images/1387/4791/73804.png)
In a randomly selected sample of 100 students at a University, 81 of them had access to a computer at home.
This means that![n = 100, p = \frac{81}{100} = 0.81](/tpl/images/1387/4791/729f2.png)
Give the value of the standard error for the point estimate.
This is s. So
The value of the standard error for the point estimate is of 0.0392.
Ответ:
Multiply both sides by the reciprocal (-8/7). You would get 40/7 or 5.71428571