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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A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.
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**Sampling Distribution of \(\hat{p}\)** Given: - Population size \(N = 18,000\) - Sample size \(n = 600\) - Population proportion \(p = 0.3\) **Question:** Describe the sampling distribution of \(\hat{p}\). Round to three decimal places when necessary. **Options:** - **A. Approximately normal; \(\mu_{\hat{p}} = 0.3\), \(\sigma_{\hat{p}} = 0.019\)** - **B. Binomial; \(\mu_{p} = 180\), \(\sigma_{p} = 11.225\)** - **C. Approximately normal; \(\mu_{\hat{p}} = 0.3\), \(\sigma_{\hat{p}} = 0.108\)** - **D. Exactly normal; \(\mu_{\hat{p}} = 0.3\), \(\sigma_{\hat{p}} = 0.019\)** To solve this, consider that with a large sample size, the sampling distribution of \(\hat{p}\) can be approximated using a normal distribution if certain conditions are met.
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Transcribed Image Text:**Sampling Distribution of \(\hat{p}\)** Given: - Population size \(N = 18,000\) - Sample size \(n = 600\) - Population proportion \(p = 0.3\) **Question:** Describe the sampling distribution of \(\hat{p}\). Round to three decimal places when necessary. **Options:** - **A. Approximately normal; \(\mu_{\hat{p}} = 0.3\), \(\sigma_{\hat{p}} = 0.019\)** - **B. Binomial; \(\mu_{p} = 180\), \(\sigma_{p} = 11.225\)** - **C. Approximately normal; \(\mu_{\hat{p}} = 0.3\), \(\sigma_{\hat{p}} = 0.108\)** - **D. Exactly normal; \(\mu_{\hat{p}} = 0.3\), \(\sigma_{\hat{p}} = 0.019\)** To solve this, consider that with a large sample size, the sampling distribution of \(\hat{p}\) can be approximated using a normal distribution if certain conditions are met.
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