Suppose a simple random sample of size n = 125 is obtained from a population whose size is N= 15,000 and whose population proportion with a specified characteristic is p= 0.8. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) Describe the sampling distribution of p. Choose the phrase that best describes the shape of the sampling distribution below. A. Approximately normal because ns0.05N and np(1 - p) 2 10. O B. Approximately normal because ns0.05N and np(1 - p) < 10. O C. Not normal because ns0.05N and np(1- p) 2 10. O D. Not normal because n s0.05N and np(1 - p) < 10.
Suppose a simple random sample of size n = 125 is obtained from a population whose size is N= 15,000 and whose population proportion with a specified characteristic is p= 0.8. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) Describe the sampling distribution of p. Choose the phrase that best describes the shape of the sampling distribution below. A. Approximately normal because ns0.05N and np(1 - p) 2 10. O B. Approximately normal because ns0.05N and np(1 - p) < 10. O C. Not normal because ns0.05N and np(1- p) 2 10. O D. Not normal because n s0.05N and np(1 - p) < 10.
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Problem 1P
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Question
- [Click here to view the standard normal distribution table (page 2).](#)
(a) Describe the sampling distribution of \(\hat{p}\).
Choose the phrase that best describes the shape of the sampling distribution below.
- A. Approximately normal because \(n \leq 0.05N\) and \(np(1-p) \geq 10\).
- 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. Not normal because \(n \leq 0.05N\) and \(np(1-p) < 10\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe55ca600-6ecd-431e-a2f3-7959f6a21e5c%2Fc22bcea6-e9aa-4631-af0f-779604d830cc%2Fb2sbl9a_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose a simple random sample of size n = 125 is obtained from a population whose size is N = 15,000 and whose population proportion with a specified characteristic is p = 0.8.
- [Click here to view the standard normal distribution table (page 1).](#)
- [Click here to view the standard normal distribution table (page 2).](#)
(a) Describe the sampling distribution of \(\hat{p}\).
Choose the phrase that best describes the shape of the sampling distribution below.
- A. Approximately normal because \(n \leq 0.05N\) and \(np(1-p) \geq 10\).
- 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. Not normal because \(n \leq 0.05N\) and \(np(1-p) < 10\).
Transcribed Image Text:**Standard Normal Distribution Table (Page 1 and Page 2)**
The standard normal distribution table is presented over two pages. Each page contains a diagram of the standard normal distribution curve with the shaded area representing the cumulative probability for a specific Z-value.
**Diagrams:**
- Both pages include a curve with a horizontal axis labeled with a 'z' value.
- The shaded area under the curve corresponds to the cumulative probability from the left up to a specific Z-value.
- An arrow labeled "Area" indicates the cumulative probability.
**Table Description:**
- The table lists Z-values ranging from -3.4 to 3.8 in 0.1 increments.
- The top row indicates the second decimal place for Z-values (0.00 to 0.09).
- Each cell within the table represents the cumulative probability (area under the curve) for the corresponding Z-value (combination of row and column).
**Page 1:**
- Z-values range from -3.4 to 0.4.
- Example: For Z = -2.7 and 0.06, the cumulative probability is 0.0035.
**Page 2:**
- Z-values range from 0.0 to 3.8.
- Example: For Z = 1.5 and 0.07, the cumulative probability is 0.9332.
This table is essential for finding probabilities associated with the standard normal distribution, which is widely used in statistics for hypothesis testing and confidence interval estimation.
Expert Solution
Step 1
Given data:
Sample size : n = 125
Population size : N = 15000
Population proportion: p = 0.8
To describe the sampling distribution.
Step by step
Solved in 2 steps with 1 images
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