### Sampling Distribution of Proportions**Scenario:**Suppose the true proportion of voters in the county who support a specific candidate is 0.58. Consider the sampling distribution for the proportion of supporters with a sample size $ n = 197 $.**Questions:**1. **What is the mean of this distribution?** - [Input box for the answer]2. **What is the standard deviation of this distribution?** - [Input box for the answer]**Instructions:**Please answer the questions based on the given scenario. When you're ready, click the "Submit Question" button below.[Button: Submit Question]---**Explanation:****The Mean of the Sampling Distribution:**The mean of the sampling distribution (also called the expected value) for the proportion is equal to the true proportion of the population. Therefore, if the true proportion $ p $ is 0.58, the mean $ \mu $ is also 0.58.**The Standard Deviation of the Sampling Distribution:**The standard deviation of a proportion in a sampling distribution can be calculated using the formula:\[ \sigma = \sqrt{\frac{p(1-p)}{n}} \]where $ p $ is the true proportion (0.58 in this case) and $ n $ is the sample size (197 here).By inserting the values into the formula:\[ \sigma = \sqrt{\frac{0.58(1-0.58)}{197}} \]Calculating this will give the standard deviation of the sampling distribution.

It is given that the value of p is 0.58.

Suppose the true proportion of voters in the county who support a specific candidate is 0.58. Consider th sampling distribution for the proportion of supporters with sample size n 197. What is the mean of this distribution? What is the standard deviation of this distribution?

Suppose the true proportion of voters in the county who support a specific candidate is 0.58. Consider th sampling distribution for the proportion of supporters with sample size n 197. What is the mean of this distribution? What is the standard deviation of this distribution?

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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