#3-4: In response to the Covid-19 virus, The CDC issued a recommendation to wear a mask when out in public spaces. The following table gives the results of a survey given to New Yorkers on whether they will wear a mask along with their political affiliation.                       Yes     No Republican    160    112 Democrat      195     88 Independent  120    15 3) Does the survey suggest that the proportion of all republicans who say they will wear a mask less than the proportion of all democrats who say they will wear a mask? Use α = .05. 4) Construct a 95% confidence interval for the difference in the population proportion of Republicans and Democrats who will not wear a mask. Does your interval suggest that there is a difference?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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#3-4: In response to the Covid-19 virus, The CDC issued a recommendation to wear a mask when out in public
spaces. The following table gives the results of a survey given to New Yorkers on whether they will wear a
mask along with their political affiliation.

                      Yes     No
Republican    160    112
Democrat      195     88
Independent  120    15

3) Does the survey suggest that the proportion of all republicans who say they will wear a mask less than the
proportion of all democrats who say they will wear a mask? Use α = .05.

4) Construct a 95% confidence interval for the difference in the population proportion of Republicans and
Democrats who will not wear a mask. Does your interval suggest that there is a difference?

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