. Test the hypothesis that the proportions are equal. Do it both ways: Using the interval in one and actually calculating the statistic and using the corresponding distribution in another

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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The American Press Institute reports that almost 70% of all American adults use a computer to gain access to news. Based on generational differences,
you suspect that the proportion of American adults under 30 years old who use a computer to gain access to news exceeds the proportion of Americans 30 years and older who use a computer to gain
access to the news. Data given represents responses to the question, “Do you use a computer to gain access to news?” given by a random samples of Americans adults under 30 years old and Americans over 30 years old.

Data: answers to the question do you use a computer to get the news (originally given in a long table) 

People Under 30: 41 say no and 109 say yes

People over 30: 91 say no and 109 say yes 


a. Estimate the proportion of American adults under 30 years old who use a computer to gain access to news and the proportion of Americans over 30 years old who use a computer to gain access to the news.
b. Provide a 95% confidence interval for the differences in proportions.
c. On the basis of your findings, does it appear the proportion of American adults under 30 years old who us a computer to gain access to news exceeds the proportion of Americans over 30 years old who use a computer to gain access to news?
d. Test the hypothesis that the proportions are equal. Do it both ways: Using the interval in one and actually calculating the statistic and using the corresponding distribution in another 

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