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

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 5E
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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?

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Step 1

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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