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Do pregnant women give birth the week of their due date? You are a researcher who wants to estimate the population proportion of all pregnant women who gave birth the week of their due date, so you will select a random sample of 80 women who have recently given birth. Follow the steps below to construct a 99% confidence interval for the population proportion of all pregnant women who gave birth the week of their due date. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results from the random sample. (b) Take Sample Sample size: 0 Point estimate: Critical value: Compute 0.000 Gave birth the week of due date 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". 0.000 Did not give birth the week of due date Standard error: Margin of error: 99% confidence interval: Number Proportion 28 52 99% confidence interval: Confidence level 99% 95% 0.35 90% 0.65 Based on your sample, enter the lower and upper limits to graph the 99% confidence interval for the population proportion of all pregnant women who gave birth the week of their due date. Critical value ²0.005 = 2.576 20.025=1.960 20.050 1.645 1.000 1.000

Do pregnant women give birth the week of their due date? You are a researcher who wants to estimate the population proportion of all pregnant women who gave birth the week of their due date, so you will select a random sample of 80 women who have recently given birth. Follow the steps below to construct a 99% confidence interval for the population proportion of all pregnant women who gave birth the week of their due date. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results from the random sample. (b) Take Sample Sample size: 0 Point estimate: Critical value: Compute 0.000 Gave birth the week of due date 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". 0.000 Did not give birth the week of due date Standard error: Margin of error: 99% confidence interval: Number Proportion 28 52 99% confidence interval: Confidence level 99% 95% 0.35 90% 0.65 Based on your sample, enter the lower and upper limits to graph the 99% confidence interval for the population proportion of all pregnant women who gave birth the week of their due date. Critical value ²0.005 = 2.576 20.025=1.960 20.050 1.645 1.000 1.000

MATLAB: An Introduction with Applications
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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**Title: Estimating the Population Proportion of Pregnant Women Giving Birth the Week of Their Due Date** **Introduction:** Research is being conducted to estimate the population proportion of all pregnant women who gave birth the week of their due date. A random sample of 80 women who have recently given birth is selected for this purpose. **Steps to Construct a 99% Confidence Interval:** **(a) Sampling Process** 1. **Take Sample**: Click the "Take Sample" button to view the random sample results. - Table Data: - **Gave birth the week of due date**: 28 women (35% of the sample) - **Did not give birth the week of due date**: 52 women (65% of the sample) 2. **Enter Values for Calculation**: - Fill in the sample size, point estimate of the population proportion, and the critical value for the 99% confidence interval using the provided critical values table. 3. **Compute**: - Box will display the values of: - **Standard error** - **Margin of error** - **99% Confidence interval** **Critical Values Table:** - 99% Confidence Level: Critical value \( z_{0.005} = 2.576 \) - 95% Confidence Level: Critical value \( z_{0.025} = 1.960 \) - 90% Confidence Level: Critical value \( z_{0.050} = 1.645 \) **(b) Confidence Interval Visualization** 1. **Graph the Interval**: - Based on the sample, enter the lower and upper limits of the 99% confidence interval for the population proportion. - A line graph is shown, with the interval represented between 0.000 and 1.000. Adjust the markers to indicate the specific range of the confidence interval. This exercise helps in understanding how to estimate population parameters from a sample using a confidence interval and the significance of choosing appropriate critical values and interpreting the results graphically.
Transcribed Image Text:**Title: Estimating the Population Proportion of Pregnant Women Giving Birth the Week of Their Due Date** **Introduction:** Research is being conducted to estimate the population proportion of all pregnant women who gave birth the week of their due date. A random sample of 80 women who have recently given birth is selected for this purpose. **Steps to Construct a 99% Confidence Interval:** **(a) Sampling Process** 1. **Take Sample**: Click the "Take Sample" button to view the random sample results. - Table Data: - **Gave birth the week of due date**: 28 women (35% of the sample) - **Did not give birth the week of due date**: 52 women (65% of the sample) 2. **Enter Values for Calculation**: - Fill in the sample size, point estimate of the population proportion, and the critical value for the 99% confidence interval using the provided critical values table. 3. **Compute**: - Box will display the values of: - **Standard error** - **Margin of error** - **99% Confidence interval** **Critical Values Table:** - 99% Confidence Level: Critical value \( z_{0.005} = 2.576 \) - 95% Confidence Level: Critical value \( z_{0.025} = 1.960 \) - 90% Confidence Level: Critical value \( z_{0.050} = 1.645 \) **(b) Confidence Interval Visualization** 1. **Graph the Interval**: - Based on the sample, enter the lower and upper limits of the 99% confidence interval for the population proportion. - A line graph is shown, with the interval represented between 0.000 and 1.000. Adjust the markers to indicate the specific range of the confidence interval. This exercise helps in understanding how to estimate population parameters from a sample using a confidence interval and the significance of choosing appropriate critical values and interpreting the results graphically.
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