In a survey of 1000 randomly selected adults in the US, participants were asked what their most favorite and their least favorite subject was when they were in school. In what might seem to be a contradiction, math was chosen more often than any other subject in both categories (AP, 2005)! Math was chosen by 230 responders as their favorite subject. Construct a 95% confidence interval for the proportion of US adults for whom math was their favorite subject in school. a) b) How many adults should be surveyed in order to have a margin of error of 1%?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 6E: List the sample space of each experiment. Tossing three coins
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In a survey of 1000 randomly selected adults in the US, participants were asked what their most
favorite and their least favorite subject was when they were in school. In what might seem to be
a contradiction, math was chosen more often than any other subject in both categories (AP,
2005)! Math was chosen by 230 responders as their favorite subject.
Construct a 95% confidence interval for the proportion of US adults for whom math was
their favorite subject in school.
a)
b)
How many adults should be surveyed in order to have a margin of error of 1%?
Transcribed Image Text:In a survey of 1000 randomly selected adults in the US, participants were asked what their most favorite and their least favorite subject was when they were in school. In what might seem to be a contradiction, math was chosen more often than any other subject in both categories (AP, 2005)! Math was chosen by 230 responders as their favorite subject. Construct a 95% confidence interval for the proportion of US adults for whom math was their favorite subject in school. a) b) How many adults should be surveyed in order to have a margin of error of 1%?
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