How to calculate population proportion from sample proportion. Notice that this does not depend on the sample size or the population size. The sample proportion p is simply the number of observed events x divided by the sample size n or p xn. Again yes because 100 1 038 62 checks out.
It turns out that the mean and standard deviation of the sample proportion are related to the population proportion in the following way. When we use a normal model for the sampling distribution 95 of sample proportions estimate the population proportion within approximately 2 standard errors. Latex2textsqrtfracp1 pnlatex now lets calculate the margin of error for the tcc estimate of 533.
Next is n1 p at least 10. First is np sample size population proportion at least 10. Mean and standard deviation of the variable the mean of x is simply np the number of elements in the sample multiplied by the probability of the event occurring.
Yes because 100 038 38. If you use a large enough statistical sample size you can apply the central limit theorem clt to a sample proportion for categorical data to find its sampling distribution. The standard deviation of x is np 1 p.
So you can go ahead and use the normal approximation.
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