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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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.)
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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