**Sampling Distribution of \(\hat{p}\)** Assume the size of the population is 10,000. - \( n = 400, \, p = 0.7 \) **Question:** Choose the phrase that best describes the shape of the sampling distribution of \(\hat{p}\) below. - A. Approximately normal because \( n \leq 0.05N \) and \( np(1-p) < 10 \). - B. Not normal because \( n \leq 0.05N \) and \( np(1-p) < 10 \). - C. Approximately normal because \( n \leq 0.05N \) and \( np(1-p) \geq 10 \). (Correct answer) - D. Not normal because \( n \leq 0.05N \) and \( np(1-p) \geq 10 \). **Task:** Determine the mean of the sampling distribution of \(\hat{p}\). - \[ \mu_{\hat{p}} = \] (Round to one decimal place as needed.) **Additional Options:** - Help me solve this - View an example - Get more help This exercise involves understanding the conditions under which the sampling distribution of the sample proportion \(\hat{p}\) is approximately normal. The criterion for approximate normality is verified by the conditions \( n \leq 0.05N \) and \( np(1-p) \geq 10 \).
**Sampling Distribution of \(\hat{p}\)** Assume the size of the population is 10,000. - \( n = 400, \, p = 0.7 \) **Question:** Choose the phrase that best describes the shape of the sampling distribution of \(\hat{p}\) below. - A. Approximately normal because \( n \leq 0.05N \) and \( np(1-p) < 10 \). - B. Not normal because \( n \leq 0.05N \) and \( np(1-p) < 10 \). - C. Approximately normal because \( n \leq 0.05N \) and \( np(1-p) \geq 10 \). (Correct answer) - D. Not normal because \( n \leq 0.05N \) and \( np(1-p) \geq 10 \). **Task:** Determine the mean of the sampling distribution of \(\hat{p}\). - \[ \mu_{\hat{p}} = \] (Round to one decimal place as needed.) **Additional Options:** - Help me solve this - View an example - Get more help This exercise involves understanding the conditions under which the sampling distribution of the sample proportion \(\hat{p}\) is approximately normal. The criterion for approximate normality is verified by the conditions \( n \leq 0.05N \) and \( np(1-p) \geq 10 \).
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![**Sampling Distribution of \(\hat{p}\)**
Assume the size of the population is 10,000.
- \( n = 400, \, p = 0.7 \)
**Question:**
Choose the phrase that best describes the shape of the sampling distribution of \(\hat{p}\) below.
- A. Approximately normal because \( n \leq 0.05N \) and \( np(1-p) < 10 \).
- B. Not normal because \( n \leq 0.05N \) and \( np(1-p) < 10 \).
- C. Approximately normal because \( n \leq 0.05N \) and \( np(1-p) \geq 10 \). (Correct answer)
- D. Not normal because \( n \leq 0.05N \) and \( np(1-p) \geq 10 \).
**Task:**
Determine the mean of the sampling distribution of \(\hat{p}\).
- \[ \mu_{\hat{p}} = \] (Round to one decimal place as needed.)
**Additional Options:**
- Help me solve this
- View an example
- Get more help
This exercise involves understanding the conditions under which the sampling distribution of the sample proportion \(\hat{p}\) is approximately normal. The criterion for approximate normality is verified by the conditions \( n \leq 0.05N \) and \( np(1-p) \geq 10 \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc193c105-11c9-44cc-a7ff-c2d8d94aeaac%2F407e582a-c99f-431f-b4ea-8f0478b9a92c%2Frjkfnsr.jpeg&w=3840&q=75)
Transcribed Image Text:**Sampling Distribution of \(\hat{p}\)**
Assume the size of the population is 10,000.
- \( n = 400, \, p = 0.7 \)
**Question:**
Choose the phrase that best describes the shape of the sampling distribution of \(\hat{p}\) below.
- A. Approximately normal because \( n \leq 0.05N \) and \( np(1-p) < 10 \).
- B. Not normal because \( n \leq 0.05N \) and \( np(1-p) < 10 \).
- C. Approximately normal because \( n \leq 0.05N \) and \( np(1-p) \geq 10 \). (Correct answer)
- D. Not normal because \( n \leq 0.05N \) and \( np(1-p) \geq 10 \).
**Task:**
Determine the mean of the sampling distribution of \(\hat{p}\).
- \[ \mu_{\hat{p}} = \] (Round to one decimal place as needed.)
**Additional Options:**
- Help me solve this
- View an example
- Get more help
This exercise involves understanding the conditions under which the sampling distribution of the sample proportion \(\hat{p}\) is approximately normal. The criterion for approximate normality is verified by the conditions \( n \leq 0.05N \) and \( np(1-p) \geq 10 \).
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