At a large corporation, 6,000 employees from department A and 4,000 employees from department B are attending a training session. A random sample of 500 employees attending the session will be selectedConsider two sampling methods: with replacement and without replacementHow will the methods affect the standard deviations of the sampling distribution of the sample proportion of employees from department B
At a large corporation, 6,000 employees from department A and 4,000 employees from department B are attending a training session. A random sample of 500 employees attending the session will be selectedConsider two sampling methods: with replacement and without replacementHow will the methods affect the standard deviations of the sampling distribution of the sample proportion of employees from department B?
Concept of sampling distribution of sample proportion:
Let a particular characteristic of a population is of interest in a study. Denote p as the population proportion of that characteristic.
Since, it is not always possible to study every population unit. So, a sample of size n is taken from the population. Let p^ be the sample proportion of that characteristic.
The probability distribution of all possible values of the sample proportion p^ is termed as the sampling distribution of p^. The parameters are as follows:
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