Describe the sampling distribution of p. Assume the size of the population is 25,000. n= 900, p = 0.3 Choose the phrase that best describes the shape of the sampling distribution of p below. O A. Not normal because n<0.05N and np(1 – p) 2 10. O B. Approximately normal because ns0.05N and np(1 - p) 2 10. O C. Approximately normal because ns0.05N and np(1 – p) < 10. O D. Not normal because ns0.05N and np(1- p)< 10. Determine the mean of the sampling distribution of p. Hn = (Round to one decimal place as needed.) Determine the standard deviation of the sampling distribution of p. (Round to three decimal places as needed.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Question

22-

**Description of Sampling Distribution**

Assume the size of the population is 25,000.

Given:
- n = 900
- p = 0.3

**Choose the phrase that best describes the shape of the sampling distribution of \(\hat{p}\):**

A. Not normal because \( n \leq 0.05N \) and \( np(1-p) \geq 10 \).

B. Approximately normal because \( n \leq 0.05N \) and \( np(1-p) \geq 10 \).

C. Approximately normal because \( n \leq 0.05N \) and \( np(1-p) < 10 \).

D. Not normal because \( n \leq 0.05N \) and \( np(1-p) < 10 \).

**Determine the mean of the sampling distribution of \(\hat{p}\):**

\[
\mu_{\hat{p}} = \text{[ ]} \quad \text{(Round to one decimal place as needed.)}
\]

**Determine the standard deviation of the sampling distribution of \(\hat{p}\):**

\[
\sigma_{\hat{p}} = \text{[ ]} \quad \text{(Round to three decimal places as needed.)}
\]
Transcribed Image Text:**Description of Sampling Distribution** Assume the size of the population is 25,000. Given: - n = 900 - p = 0.3 **Choose the phrase that best describes the shape of the sampling distribution of \(\hat{p}\):** A. Not normal because \( n \leq 0.05N \) and \( np(1-p) \geq 10 \). B. Approximately normal because \( n \leq 0.05N \) and \( np(1-p) \geq 10 \). C. Approximately normal because \( n \leq 0.05N \) and \( np(1-p) < 10 \). D. Not normal because \( n \leq 0.05N \) and \( np(1-p) < 10 \). **Determine the mean of the sampling distribution of \(\hat{p}\):** \[ \mu_{\hat{p}} = \text{[ ]} \quad \text{(Round to one decimal place as needed.)} \] **Determine the standard deviation of the sampling distribution of \(\hat{p}\):** \[ \sigma_{\hat{p}} = \text{[ ]} \quad \text{(Round to three decimal places as needed.)} \]
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