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What is the standard error for the following proportion sample size of 25 and 20 of the respondents said yes?
Wiki User
∙ 15y ago
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
Wiki User
∙ 15y ago
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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
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%.
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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
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
Is it true or false that a convenience sample usually consist of respondents with strong opinions?
Yes
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 is the purpose of the sample proportion?
The sampling proportion may be used to scale up the results from a sample to that of the population. It is also used for designing stratified sampling.
