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What is the standard error for the following proportion sample size of 25 and 20 of the respondents said yes?
standard error for proportion is calculated as:
SE = sqrt [(p)(1-p) / n ]
so let us say that "p" is going to represent the decimal proportion of respondents who said YES.... so...
p = 20/25 = 4/5 = 0.8
And... we then are going to say that the complement of "p" which is "1-p" is going to represent the decimal proportion of respondents who said NO ... so... 1-p = 1 - 0.8 = 0.2
Lastly, the "n" in the formula for standard error is equal to 25 because "n" represents the sample size....
So now all you have to do is plug the values you found for "p" and for "1-p"... (remember "p = 0.8" and "1-p = 0.2")... and "n=25"....
Standard Error (SE) = sqrt [(p)(1-p) / n ]
............................ = sqrt [(0.8)(1-0.8) / 25 ]
............................ = sqrt [(0.8)(0.2) / 25 ]
............................ = sqrt [0.16 / 25]
............................ = sqrt (0.0064)
............................ = +/- 0.08
What else can I help you with?
What are the mean and the standard deviation of a proportion?
The mean of a proportion, p, is X/n; where X is the number of instances & n is the sample size; and its standard deviation is sqrt[p(1-p)]
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.
Describe the sampling distribution model for the sample proportion by naming the model and telling its mean and standard deviation?
it is the test one tail
Which of the following samples will produce the largest value for the estimated standard error?
A small sample size and a large sample variance.
The typical margin of error in a sample survey of 1500 respondents is?
3 percent
What is the standard error for the following proportion sample size of 25 and?
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.
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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The Empirical Rule indicates that we can expect to find what proportion of the sample included within plus or and - 2 standard deviation?
The proportion is approx 95%.
What are the mean and the standard deviation of a proportion?
The mean of a proportion, p, is X/n; where X is the number of instances & n is the sample size; and its standard deviation is sqrt[p(1-p)]
What is sample distribution of the sample proportion?
The sample distribution of the sample proportion refers to the probability distribution of the proportion of successes in a sample drawn from a population. It is typically approximated by a normal distribution when certain conditions are met, specifically when the sample size is large enough (usually np and n(1-p) both greater than 5). The mean of this distribution is equal to the population proportion (p), and the standard deviation is calculated using the formula √[p(1-p)/n]. This distribution is useful for making inferences about the population proportion based on sample data.
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
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}}).
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.
Describe the sampling distribution model for the sample proportion by naming the model and telling its mean and standard deviation?
it is the test one tail
What proportion of sample proportions have a value greater than the population in any normal sample proportion distribution?
A half.
Which of the following samples will produce the largest value for the estimated standard error?
A small sample size and a large sample variance.
The typical margin of error in a sample survey of 1500 respondents is?
3 percent
