Describe the sampling distribution of p. Assume the size of the population is 20,000. n= 200, p= 0.5 Choose the phrase that best describes the shape of the sampling distribution of p below. O A. Not normal because ns0.05N and np(1 – p) < 10. O B. Not normal because ns0.05N and np(1 – p) 2 10. O C. Approximately normal because ns 0.05N and np(1- p) 2 10. O D. Approximately normal because ns0.05N and np(1- p) < 10.
Describe the sampling distribution of p. Assume the size of the population is 20,000. n= 200, p= 0.5 Choose the phrase that best describes the shape of the sampling distribution of p below. O A. Not normal because ns0.05N and np(1 – p) < 10. O B. Not normal because ns0.05N and np(1 – p) 2 10. O C. Approximately normal because ns 0.05N and np(1- p) 2 10. O D. Approximately normal because ns0.05N and np(1- p) < 10.
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Transcribed Image Text:**Description of the Sampling Distribution**
Consider the sampling distribution of \(\hat{p}\). We assume the population size is 20,000, with the sample size \(n = 200\) and probability of success \(p = 0.5\).
**Choose the phrase that best describes the shape of the sampling distribution of \(\hat{p}\):**
- **A.** Not normal because \(n \leq 0.05N\) and \(np(1 - p) < 10\).
- **B.** Not normal because \(n \leq 0.05N\) and \(np(1 - p) \geq 10\).
- **C.** Approximately normal because \(n \leq 0.05N\) and \(np(1 - p) \geq 10\).
- **D.** Approximately normal because \(n \leq 0.05N\) and \(np(1 - p) < 10\).
**Selection:**
- Option **A** is selected, indicating that the sampling distribution is not normal because \(np(1 - p) < 10\), although the sample size \(n\) is less than or equal to 5% of the population (\(0.05N\)).
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