**Problem Statement:**When 415 college students were surveyed, 175 said they own their car. Construct a 95% confidence interval for the proportion of college students who say they own their cars.**Solution:**To solve this problem, follow these steps:1. **Identify the Sample Proportion (p̂):**\[ p̂ = \frac{x}{n} = \frac{175}{415}\]2. **Calculate the Standard Error (SE):**\[ SE = \sqrt{\frac{p̂(1 - p̂)}{n}}\]3. **Determine the Z-score for 95% Confidence Interval:**- For a 95% confidence level, the Z-score is approximately 1.96.4. **Construct the Confidence Interval:**\[ \text{Confidence Interval} = p̂ \pm Z \times SE\]This will give you the range within which the true proportion of college students who own their cars is likely to fall with 95% confidence.

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Description: **Problem Statement:**When 415 college students were surveyed, 175 said they own their car. Construct a 95% confidence interval for the proportion of college students who say they own their cars.**Solution:**To solve this problem, follow these steps

Given, The sample proportion is, Critical value: Using z-table, the z-critical value at the given…

Answered: 6) When 415 college students were…

Math

Statistics

6) When 415 college students were surveyed, 175 said they own their car. Construct a 95% confidence interval for the proportion of college students who say they own their cars.

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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