CorpPlus is a large corporation with many employees. You work for the human resources department of CorpPlus and want to estimate the population proportion of all employees who say the corporation is a great place to work. So, you will survey a random sample of 95 employees from CorpPlus and ask them whether they think the corporation is a great place to work. Follow the steps below to construct a 99% confidence interval for the population proportion of all employees who say the corporation is a great place to work. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results from the random sample. Take Sample Sample size: 0 Point estimate: 0 Critical value: 0 Says the corporation is a great place to work Compute Does not say the corporation is a great place to work Enter the values of the sample size, the point estimate of the population proportion, and the critical value you need for your 99% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". Standard error: Margin of error: Number 76 99% confidence interval: 19 Proportion 0.8 0.2 X Confidence level Critical value 99% 20.005=2.576 20.025 = 1.960 20.050=1.645 95% 90% (b) Based on your sample, enter the lower and upper limits to graph the 99% confidence interval for the population proportion of all employees who say the corporation is a great place to work.
CorpPlus is a large corporation with many employees. You work for the human resources department of CorpPlus and want to estimate the population proportion of all employees who say the corporation is a great place to work. So, you will survey a random sample of 95 employees from CorpPlus and ask them whether they think the corporation is a great place to work. Follow the steps below to construct a 99% confidence interval for the population proportion of all employees who say the corporation is a great place to work. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results from the random sample. Take Sample Sample size: 0 Point estimate: 0 Critical value: 0 Says the corporation is a great place to work Compute Does not say the corporation is a great place to work Enter the values of the sample size, the point estimate of the population proportion, and the critical value you need for your 99% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". Standard error: Margin of error: Number 76 99% confidence interval: 19 Proportion 0.8 0.2 X Confidence level Critical value 99% 20.005=2.576 20.025 = 1.960 20.050=1.645 95% 90% (b) Based on your sample, enter the lower and upper limits to graph the 99% confidence interval for the population proportion of all employees who say the corporation is a great place to work.
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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Transcribed Image Text:**Constructing a 99% Confidence Interval for Employee Opinions**
CorpPlus is a large corporation with many employees. As part of the human resources department, you aim to estimate the proportion of employees who believe CorpPlus is a great place to work. To do this, you will survey a random sample of 95 employees and ask for their opinions.
### Steps to Construct a 99% Confidence Interval
1. **Take a Sample:**
- **Button:** Click "Take Sample" to view results from the random sample.
| Response | Number | Proportion |
|------------------------------------------------|--------|------------|
| Says the corporation is a great place to work | 76 | 0.8 |
| Does not say the corporation is a great place to work | 19 | 0.2 |
2. **Enter Data to Calculate Confidence Interval:**
- **Sample size:** Input the size of your sample.
- **Point estimate:** Enter the point estimate of the population proportion.
- **Critical value:** Select the critical value from the provided table.
3. **Referencing Critical Values Table:**
- 99% Confidence Level: \( z_{0.005} = 2.576 \)
- 95% Confidence Level: \( z_{0.025} = 1.960 \)
- 90% Confidence Level: \( z_{0.050} = 1.645 \)
4. **Compute Results:**
- Click "Compute" to determine standard error, margin of error, and the confidence interval.
5. **Graph the Confidence Interval:**
- Based on your sample, input the lower and upper limits to visualize the 99% confidence interval.
**Graph Description:**
- A linear graphical representation with a range from 0.000 to 1.000. The interval is depicted as a shaded segment on the number line to display the 99% confidence interval for the employee proportion who say the corporation is a great place to work.
This interactive tool assists in understanding confidence intervals and the importance of sampling in estimating population parameters.
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