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To calculate the standard error for a proportion, you can use the formula:
[ SE = \sqrt{\frac{p(1 - p)}{n}} ]
where (p) is the sample proportion and (n) is the sample size. If the proportion is not given in your question, you'll need to specify a value for (p) to compute the standard error. For a sample size of 25, substitute that value into the formula along with the specific proportion to find the standard error.
What else can I help you with?
Consider a random sample of size 45 from a population with proportion 0.30 find the standard error of the distribution of sample proportions?
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What is the sampling distribution of p hat?
The sampling distribution of (\hat{p}) (the sample proportion) describes the distribution of sample proportions obtained from repeated random samples of a given size from a population. It is approximately normal when the sample size is large enough, typically when both (np) and (n(1-p)) are greater than 5, where (p) is the population proportion and (n) is the sample size. The mean of this distribution is equal to the population proportion (p), and the standard deviation (standard error) is given by (\sqrt{\frac{p(1-p)}{n}}).
Is the standard error of the sample mean assesses the uncertainty or error of estimation?
yes
When calculating the confidence interval why is the sample standard deviation used to derive the standard error of the mean?
The sample standard deviation is used to derive the standard error of the mean because it provides an estimate of the variability of the sample data. This variability is crucial for understanding how much the sample mean might differ from the true population mean. By dividing the sample standard deviation by the square root of the sample size, we obtain the standard error, which reflects the precision of the sample mean as an estimate of the population mean. This approach is particularly important when the population standard deviation is unknown.
What is the sample size for standard deviation?
There is no such thing. The standard error can be calculated for a sample of any size greater than 1.
Consider a random sample of size 45 from a population with proportion 0.30 find the standard error of the distribution of sample proportions?
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What is the standard error of the proportion of females if a random sample of 150 people was taken from a very large population and ninety of the people in the sample were females?
0.0016
Which of the following samples will produce the largest value for the estimated standard error?
A small sample size and a large sample variance.
How does sample size affect the size of your standard error?
The standard error should decrease as the sample size increases. For larger samples, the standard error is inversely proportional to the square root of the sample size.The standard error should decrease as the sample size increases. For larger samples, the standard error is inversely proportional to the square root of the sample size.The standard error should decrease as the sample size increases. For larger samples, the standard error is inversely proportional to the square root of the sample size.The standard error should decrease as the sample size increases. For larger samples, the standard error is inversely proportional to the square root of the sample size.
In an opinion poll 25 percent of a random sample of 200 people said that they were strongly opposed to having a state lottery what is the standard error of the sample proportion?
It is 6.1, approx.
How does one calculate the standard error of the sample mean?
Standard error of the sample mean is calculated dividing the the sample estimate of population standard deviation ("sample standard deviation") by the square root of sample size.
Consider a random sample of 45 from a population with proportion 0.30 find the standard error of the distribution of sample proportions?
I dont really konw im doing this for the pnits srry
What affects the standard error of the mean?
The standard error of the underlying distribution, the method of selecting the sample from which the mean is derived, the size of the sample.
What happens to the standard error of the mean if the sample size is decreased?
The standard error increases.
What is the sampling distribution of p hat?
The sampling distribution of (\hat{p}) (the sample proportion) describes the distribution of sample proportions obtained from repeated random samples of a given size from a population. It is approximately normal when the sample size is large enough, typically when both (np) and (n(1-p)) are greater than 5, where (p) is the population proportion and (n) is the sample size. The mean of this distribution is equal to the population proportion (p), and the standard deviation (standard error) is given by (\sqrt{\frac{p(1-p)}{n}}).
Why is standard deviation of a statistic called standard error?
The standard error is the standard deviation divided by the square root of the sample size.
Describe how the sample size affects the standard error?
Standard error (which is the standard deviation of the distribution of sample means), defined as σ/√n, n being the sample size, decreases as the sample size n increases. And vice-versa, as the sample size gets smaller, standard error goes up. The law of large numbers applies here, the larger the sample is, the better it will reflect that particular population.
