**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.

The sampling distribution of the sample proportion depends on the sample size. For large n, the…

Describe the sampling distribution of p. Round to three decimal places when necessary. N= 18,000, n= 600, p= 0.3 O A. Approximately normal; , = 0.3, o, = 0.019 O B. Binomial; u, = 180, o, = 11.225 OC. Approximately normal; u, = 0.3, op = 0.108 OD. Exactly normal; Hp = 0.3, op = 0.019

Describe the sampling distribution of p. Round to three decimal places when necessary. N= 18,000, n= 600, p= 0.3 O A. Approximately normal; , = 0.3, o, = 0.019 O B. Binomial; u, = 180, o, = 11.225 OC. Approximately normal; u, = 0.3, op = 0.108 OD. Exactly normal; Hp = 0.3, op = 0.019

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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