MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Profit and Loss
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How would I go about finding the answer using my TI-84?  

**Sampling Distribution of Proportion (\(\hat{p}\))** **Problem Statement:** Describe the sampling distribution of \(\hat{p}\). The population size is 25,000 with sample size \(n = 300\) and proportion \(p = 0.4\). **Options:** - **A.** Approximately normal because \(n \leq 0.05N\) and \(np(1-p) < 10\). - **B.** Approximately normal because \(n \leq 0.05N\) and \(np(1-p) \geq 10\). - **C.** Not normal because \(n \leq 0.05N\) and \(np(1-p) \geq 10\). - **D.** Not normal because \(n \leq 0.05N\) and \(np(1-p) < 10\). **Correct Answer:** - **B.** Approximately normal because \(n \leq 0.05N\) and \(np(1-p) \geq 10\). **Calculation Requirement:** Determine the mean of the sampling distribution of \(\hat{p}\). Mean (\(\mu_{\hat{p}}\)) Formula: \(\mu_{\hat{p}} = \frac{\mu}{p}\) **Instruction:** Round to one decimal place as needed.
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Transcribed Image Text:**Sampling Distribution of Proportion (\(\hat{p}\))** **Problem Statement:** Describe the sampling distribution of \(\hat{p}\). The population size is 25,000 with sample size \(n = 300\) and proportion \(p = 0.4\). **Options:** - **A.** Approximately normal because \(n \leq 0.05N\) and \(np(1-p) < 10\). - **B.** Approximately normal because \(n \leq 0.05N\) and \(np(1-p) \geq 10\). - **C.** Not normal because \(n \leq 0.05N\) and \(np(1-p) \geq 10\). - **D.** Not normal because \(n \leq 0.05N\) and \(np(1-p) < 10\). **Correct Answer:** - **B.** Approximately normal because \(n \leq 0.05N\) and \(np(1-p) \geq 10\). **Calculation Requirement:** Determine the mean of the sampling distribution of \(\hat{p}\). Mean (\(\mu_{\hat{p}}\)) Formula: \(\mu_{\hat{p}} = \frac{\mu}{p}\) **Instruction:** Round to one decimal place as needed.
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