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If the sociologist can sample 100 women, what will the margin of error be?

If the sociologist can sample 100 women, what will the margin of error be?

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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It is if the sociologist can sample 100 woman the other paper is just so you understand where the question is coming from. 

anued from previous sampie: If the sociologist can sample 100 women, what will the margin of error be? Previous Next ype here to search 近
Transcribed Image Text:anued from previous sampie: If the sociologist can sample 100 women, what will the margin of error be? Previous Next ype here to search 近
Example Problems - Margin of Error Sample Problems: Anytime you're trying to estimate a number from a population (like the average gas price in the States), you include a margin of error. You need to accurately calculate the sample size neede particular margin of error you want. A sociologist is interested in the average age women get married. The sociologist knows that population standard deviation of age at first marriage is three years for women and hasn't cha the last 60 years. The sociologist would like to demonstrate with 95% confidence that the me the first marriage for women. The following table provides the z*- values for selected (percentage) confidence levels. If.the sociologist can sample only_50 women, what will the margin of error be? The formula for margin of error when estimating a population mean is Pereestags Coddese MOE + where z is the value from the table for a given confidence level (95 % in this case, or 1.96). o is the standard deviation (3 years), and n is the sample size (50). Now, substitute the numbers into the formula and solve: 3 years MOF=1.96 =t1.96 (0.4243 years) =10.83 years With 50 women in the sample. the sociologist has a margin of error of plus/minus 0.83 years. ne beE to search T1
Transcribed Image Text:Example Problems - Margin of Error Sample Problems: Anytime you're trying to estimate a number from a population (like the average gas price in the States), you include a margin of error. You need to accurately calculate the sample size neede particular margin of error you want. A sociologist is interested in the average age women get married. The sociologist knows that population standard deviation of age at first marriage is three years for women and hasn't cha the last 60 years. The sociologist would like to demonstrate with 95% confidence that the me the first marriage for women. The following table provides the z*- values for selected (percentage) confidence levels. If.the sociologist can sample only_50 women, what will the margin of error be? The formula for margin of error when estimating a population mean is Pereestags Coddese MOE + where z is the value from the table for a given confidence level (95 % in this case, or 1.96). o is the standard deviation (3 years), and n is the sample size (50). Now, substitute the numbers into the formula and solve: 3 years MOF=1.96 =t1.96 (0.4243 years) =10.83 years With 50 women in the sample. the sociologist has a margin of error of plus/minus 0.83 years. ne beE to search T1
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