Describe the sampling distribution of p. Assume the size of the population is 30,000. n= 800, =0.6 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. Approximately normal because n s0.05N and np(1- p) < 10. OC. Not normal because ns0.05N and np(1- p) 2 10. O D. Approximately normal because ns0.05N and np(1-p) 2 10.
Describe the sampling distribution of p. Assume the size of the population is 30,000. n= 800, =0.6 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. Approximately normal because n s0.05N and np(1- p) < 10. OC. Not normal because ns0.05N and np(1- p) 2 10. O D. Approximately normal because ns0.05N and np(1-p) 2 10.
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Describe the sampling distribution of Modifying Above p with caret. Assume the size of the population is 30 comma 000. n equals 800, p equals 0.6
![**Sampling Distribution of $\hat{p}$**
Given:
- Population size = 30,000
- Sample size ($n$) = 800
- Population proportion ($p$) = 0.6
**Choosing the Shape of the Sampling Distribution:**
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.** Approximately normal because $n \leq 0.05N$ and $np(1-p) < 10$.
- **C.** Not normal because $n \leq 0.05N$ and $np(1-p) \geq 10$.
- **D.** Approximately normal because $n \leq 0.05N$ and $np(1-p) \geq 10$.
**Determine the Mean of the Sampling Distribution of $\hat{p}$:**
- $\mu_{\hat{p}} = \_ \_ \_ \_ \_ $ (Round to one decimal place as needed.)
**Determine the Standard Deviation of the Sampling Distribution of $\hat{p}$:**
- $\sigma_{\hat{p}} = \_ \_\_ \_ \_ $ (Round to three decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F22568b1b-f02c-4f31-a311-497218f0a282%2Fa27e4af9-4483-4b02-a9ef-e41a9cd5d1d3%2Fpieqixe_processed.png&w=3840&q=75)
Transcribed Image Text:**Sampling Distribution of $\hat{p}$**
Given:
- Population size = 30,000
- Sample size ($n$) = 800
- Population proportion ($p$) = 0.6
**Choosing the Shape of the Sampling Distribution:**
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.** Approximately normal because $n \leq 0.05N$ and $np(1-p) < 10$.
- **C.** Not normal because $n \leq 0.05N$ and $np(1-p) \geq 10$.
- **D.** Approximately normal because $n \leq 0.05N$ and $np(1-p) \geq 10$.
**Determine the Mean of the Sampling Distribution of $\hat{p}$:**
- $\mu_{\hat{p}} = \_ \_ \_ \_ \_ $ (Round to one decimal place as needed.)
**Determine the Standard Deviation of the Sampling Distribution of $\hat{p}$:**
- $\sigma_{\hat{p}} = \_ \_\_ \_ \_ $ (Round to three decimal places as needed.)
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