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Construct a confidence interval of the population proportion at the given level of confidence. x= 860, n = 1100, 96% confidence Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). ..... The lower bound of the confidence interval is. (Round to three decimal places as needed.)

Construct a confidence interval of the population proportion at the given level of confidence. x= 860, n = 1100, 96% confidence Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). ..... The lower bound of the confidence interval is. (Round to three decimal places as needed.)

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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**Construct a Confidence Interval of the Population Proportion** At the given level of confidence: - Sample successes (\(x\)) = 860 - Sample size (\(n\)) = 1100 - Confidence level = 96% **Helpful Resources:** - [Click here to view the standard normal distribution table (page 1).](#) - [Click here to view the standard normal distribution table (page 2).](#) --- **Calculation Task:** - Calculate the lower bound of the confidence interval. *(Round to three decimal places as needed.)* **Input Box:** - Lower bound of the confidence interval is: [ ] --- This section provides links to standard normal distribution tables, which are essential for determining the critical value associated with the 96% confidence level. The task involves using the given sample data to calculate the lower bound of the confidence interval for population proportion, rounded to three decimal places.
Transcribed Image Text:**Construct a Confidence Interval of the Population Proportion** At the given level of confidence: - Sample successes (\(x\)) = 860 - Sample size (\(n\)) = 1100 - Confidence level = 96% **Helpful Resources:** - [Click here to view the standard normal distribution table (page 1).](#) - [Click here to view the standard normal distribution table (page 2).](#) --- **Calculation Task:** - Calculate the lower bound of the confidence interval. *(Round to three decimal places as needed.)* **Input Box:** - Lower bound of the confidence interval is: [ ] --- This section provides links to standard normal distribution tables, which are essential for determining the critical value associated with the 96% confidence level. The task involves using the given sample data to calculate the lower bound of the confidence interval for population proportion, rounded to three decimal places.
# Standard Normal Distribution Table ## Overview The image shows a standard normal distribution table, commonly used to find the area (probability) under the normal curve. This table includes two pages, each illustrating a bell curve and corresponding probability values. The standard normal distribution is characterized by a mean of 0 and a standard deviation of 1. It is essential for statistical analysis and hypothesis testing. ### Graph Explanation At the top of each page, there is a graph of a standard normal distribution curve: - The x-axis represents the z-score, which measures the number of standard deviations a data point is from the mean. - The curve is symmetric around the mean (z = 0), and the shaded area under the curve to the left of a specific z-score represents the cumulative probability up to that z-score. ## Page 1 ### Table Explanation - **Columns**: Each column represents the hundredths place of the z-score, ranging from 0.00 to 0.09. - **Rows**: Each row represents the tenths place and units digit of the z-score, ranging from -3.4 to -0.1. - **Values**: The values within the table are the cumulative probabilities. For example, for a z-score of -1.5 and a hundredths place of .03, the cumulative probability from the table is 0.0668. ## Page 2 ### Table Explanation - **Columns**: Each column continues to represent the hundredths place of the z-score, ranging from 0.00 to 0.09. - **Rows**: Each row now represents the tenths place and units digit of the z-score, ranging from 0.0 to 3.9. - **Values**: These values represent the cumulative probabilities for positive z-scores. For instance, for a z-score of 1.3 and a hundredths place of .05, the cumulative probability is 0.9032. ### Usage To find a cumulative probability: 1. Identify the z-score. 2. Use the row for the tenths and unit digit. 3. Use the column matching the hundredths digit. 4. The intersection provides the cumulative probability. This table is fundamental for calculating probabilities and critical values in statistics, making it indispensable for educational and professional use.
Transcribed Image Text:# Standard Normal Distribution Table ## Overview The image shows a standard normal distribution table, commonly used to find the area (probability) under the normal curve. This table includes two pages, each illustrating a bell curve and corresponding probability values. The standard normal distribution is characterized by a mean of 0 and a standard deviation of 1. It is essential for statistical analysis and hypothesis testing. ### Graph Explanation At the top of each page, there is a graph of a standard normal distribution curve: - The x-axis represents the z-score, which measures the number of standard deviations a data point is from the mean. - The curve is symmetric around the mean (z = 0), and the shaded area under the curve to the left of a specific z-score represents the cumulative probability up to that z-score. ## Page 1 ### Table Explanation - **Columns**: Each column represents the hundredths place of the z-score, ranging from 0.00 to 0.09. - **Rows**: Each row represents the tenths place and units digit of the z-score, ranging from -3.4 to -0.1. - **Values**: The values within the table are the cumulative probabilities. For example, for a z-score of -1.5 and a hundredths place of .03, the cumulative probability from the table is 0.0668. ## Page 2 ### Table Explanation - **Columns**: Each column continues to represent the hundredths place of the z-score, ranging from 0.00 to 0.09. - **Rows**: Each row now represents the tenths place and units digit of the z-score, ranging from 0.0 to 3.9. - **Values**: These values represent the cumulative probabilities for positive z-scores. For instance, for a z-score of 1.3 and a hundredths place of .05, the cumulative probability is 0.9032. ### Usage To find a cumulative probability: 1. Identify the z-score. 2. Use the row for the tenths and unit digit. 3. Use the column matching the hundredths digit. 4. The intersection provides the cumulative probability. This table is fundamental for calculating probabilities and critical values in statistics, making it indispensable for educational and professional use.
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