A random sample of 1,000 students at a large college included 458 who had one or more credit cards. For this sample, $ \hat{p} = \frac{458}{1,000} = 0.458 $. If another random sample of 1,000 students from this university were selected, would you expect that $ \hat{p} $ for that sample would also be 0.458? Explain why or why not.- ○ I would not expect that $ \hat{p} $ for a different random sample would also be equal to 0.458 because that specific value for $ \hat{p} $ was based on 1,000 samples.- ○ I would expect that $ \hat{p} $ for a different random sample would also be equal to 0.458 because that specific value for $ \hat{p} $ was based on the entire population.- ○ I would not expect that $ \hat{p} $ for a different random sample would also be equal to 0.458 because that specific value for $ \hat{p} $ was based on one particular sample.- ○ I would not expect that $ \hat{p} $ for a different random sample would also be equal to 0.458 because that specific value for $ \hat{p} $ was based on the entire population.- ○ I would expect that $ \hat{p} $ for a different random sample would also be equal to 0.458 because that specific value for $ \hat{p} $ was based on one particular sample.

Answered: plé wõi nple would d not expec

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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A random sample of 1,000 students at a large college included 458 who had one or more credit cards. For this sample, $ \hat{p} = \frac{458}{1,000} = 0.458 $. If another random sample of 1,000 students from this university were selected, would you expect that $ \hat{p} $ for that sample would also be 0.458? Explain why or why not.

- ○ I would not expect that $ \hat{p} $ for a different random sample would also be equal to 0.458 because that specific value for $ \hat{p} $ was based on 1,000 samples.
- ○ I would expect that $ \hat{p} $ for a different random sample would also be equal to 0.458 because that specific value for $ \hat{p} $ was based on the entire population.
- ○ I would not expect that $ \hat{p} $ for a different random sample would also be equal to 0.458 because that specific value for $ \hat{p} $ was based on one particular sample.
- ○ I would not expect that $ \hat{p} $ for a different random sample would also be equal to 0.458 because that specific value for $ \hat{p} $ was based on the entire population.
- ○ I would expect that $ \hat{p} $ for a different random sample would also be equal to 0.458 because that specific value for $ \hat{p} $ was based on one particular sample.

Expert Solution

Step 1

A sample is a set of individuals or objects collected or selected from a statistical population with the help of a defined procedure. The sample proportion is the no. of observed events divided by the sample size.

Here, A random sample of 1000 students at a large college included 458 who had one or more credit cards.

$\overset{⏞}{p} = \frac{458}{1000} = 0.458$

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