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A researcher wishes to estimate the percentage of adults who support abolishing the penny. What size sample should be obtained if he wishes the estimate to be within 3 percentage points with 95% confidence if (a) he uses a previous estimate of 26%? (b) he does not use any prior estimates? Click here to view the standard normal distribution table (page 1), Click here to view the standard normal distribution table (page 2). (a) n= (Round up to the nearest integer.)

A researcher wishes to estimate the percentage of adults who support abolishing the penny. What size sample should be obtained if he wishes the estimate to be within 3 percentage points with 95% confidence if (a) he uses a previous estimate of 26%? (b) he does not use any prior estimates? Click here to view the standard normal distribution table (page 1), Click here to view the standard normal distribution table (page 2). (a) n= (Round up to the nearest integer.)

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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**Problem Statement:** A researcher wishes to estimate the percentage of adults who support abolishing the penny. What size sample should be obtained if he wishes the estimate to be within 3 percentage points with 95% confidence in the following scenarios: (a) He uses a previous estimate of 26%. (b) He does not use any prior estimates. **Resources Provided:** - [Click here to view the standard normal distribution table (page 1).](#) - [Click here to view the standard normal distribution table (page 2).](#) **Solution:** (a) \( n = \) ☐ (Round up to the nearest integer.)
Transcribed Image Text:**Problem Statement:** A researcher wishes to estimate the percentage of adults who support abolishing the penny. What size sample should be obtained if he wishes the estimate to be within 3 percentage points with 95% confidence in the following scenarios: (a) He uses a previous estimate of 26%. (b) He does not use any prior estimates. **Resources Provided:** - [Click here to view the standard normal distribution table (page 1).](#) - [Click here to view the standard normal distribution table (page 2).](#) **Solution:** (a) \( n = \) ☐ (Round up to the nearest integer.)
### Standard Normal Distribution Tables The image contains two Standard Normal Distribution tables used for finding the area (probability) under the standard normal curve for a given z-score. #### Left Table: Positive Z-Scores - **Graph Illustration**: The graph shows the right tail of the normal distribution curve. The shaded area denotes the probability or the area under the curve to the right of a given positive z-score. - **Table Structure**: The z-scores are listed in the leftmost column, ranging from 0.0 to 3.4 in intervals of 0.1. Moving across the row, the headings from 0.00 to 0.09 represent the second decimal place of the z-score. Thus, for a z-score of 0.53, the area is 0.7019. #### Right Table: Negative Z-Scores - **Graph Illustration**: This graph displays the left tail of the normal distribution curve. The shaded area denotes the probability or the area under the curve to the left of a given negative z-score. - **Table Structure**: The z-scores are listed on the leftmost column, ranging from -3.4 to -0.1. Similar to the left table, the headings from 0.00 to 0.09 represent the second decimal place of the z-score. For example, a z-score of -1.73 corresponds to an area of 0.0418. These tables help in calculating probabilities and percentiles for standard normal distributions in statistics.
Transcribed Image Text:### Standard Normal Distribution Tables The image contains two Standard Normal Distribution tables used for finding the area (probability) under the standard normal curve for a given z-score. #### Left Table: Positive Z-Scores - **Graph Illustration**: The graph shows the right tail of the normal distribution curve. The shaded area denotes the probability or the area under the curve to the right of a given positive z-score. - **Table Structure**: The z-scores are listed in the leftmost column, ranging from 0.0 to 3.4 in intervals of 0.1. Moving across the row, the headings from 0.00 to 0.09 represent the second decimal place of the z-score. Thus, for a z-score of 0.53, the area is 0.7019. #### Right Table: Negative Z-Scores - **Graph Illustration**: This graph displays the left tail of the normal distribution curve. The shaded area denotes the probability or the area under the curve to the left of a given negative z-score. - **Table Structure**: The z-scores are listed on the leftmost column, ranging from -3.4 to -0.1. Similar to the left table, the headings from 0.00 to 0.09 represent the second decimal place of the z-score. For example, a z-score of -1.73 corresponds to an area of 0.0418. These tables help in calculating probabilities and percentiles for standard normal distributions in statistics.
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