Are Republicans just as likely as Dem American flag in front of their reside July? 459 of the 687 Republicans surv the Fourth of July and 396 of the 642

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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Are Republicans just as likely as Democrats to display the
American flag in front of their residence on the Fourth of
July? 459 of the 687 Republicans surveyed display the flag on
the Fourth of July and 396 of the 642 Democrats surveyed
display the flag on the Fourth of July. What can be concluded
at the a = 0.05 level of significance?
Transcribed Image Text:Are Republicans just as likely as Democrats to display the American flag in front of their residence on the Fourth of July? 459 of the 687 Republicans surveyed display the flag on the Fourth of July and 396 of the 642 Democrats surveyed display the flag on the Fourth of July. What can be concluded at the a = 0.05 level of significance?
e. Based on this, we should Select an answer
the null
hypothesis.
f. Thus, the final conclusion is that ...
O The results are statistically significant at a =
0.05, so there is sufficient evidence to conclude
that the population proportion of Republicans
who display the American flag in front of their
residence on the Fourth of July is different from
the population proportion of Democrats who
display the American flag in front of their
residence on the Fourth of July.
The results are statistically insignificant at a =
0.05, so there is insufficient evidence to
conclude that the population proportion of
Republicans who display the American flag in
front of their residence on the Fourth of July is
different from the population proportion of
Democrats who display the American flag in
front of their residence on the Fourth of July.
O The results are statistically insignificant at a =
0.05, so we can conclude that the population
proportion of Republicans who display the
American flag in front of their residence on the
Fourth of July is equal to the population
proportion of Democrats who display the
American flag in front of their residence on the
Fourth of July.
The results are statistically significant at a =
0.05, so there is sufficient evidence to conclude
that the proportion of the 687 Republicans who
displayed the American flag in front of their
residence on the Fourth of July is different from
the proportion of the 642 Democrats who
displayed the American flag in front of their
residence on the Fourth of July.
g. Interpret the p-value in the context of the study.
There is a 5.1% chance that Republicans and
Democrats differ by at least 5.1% when it comes
to displaying the American flag in front of their
residence on the Fourth of July.
If the sample proportion of Republicans who
display the American flag in front of their
residence on the Fourth of July is the same as
Transcribed Image Text:e. Based on this, we should Select an answer the null hypothesis. f. Thus, the final conclusion is that ... O The results are statistically significant at a = 0.05, so there is sufficient evidence to conclude that the population proportion of Republicans who display the American flag in front of their residence on the Fourth of July is different from the population proportion of Democrats who display the American flag in front of their residence on the Fourth of July. The results are statistically insignificant at a = 0.05, so there is insufficient evidence to conclude that the population proportion of Republicans who display the American flag in front of their residence on the Fourth of July is different from the population proportion of Democrats who display the American flag in front of their residence on the Fourth of July. O The results are statistically insignificant at a = 0.05, so we can conclude that the population proportion of Republicans who display the American flag in front of their residence on the Fourth of July is equal to the population proportion of Democrats who display the American flag in front of their residence on the Fourth of July. The results are statistically significant at a = 0.05, so there is sufficient evidence to conclude that the proportion of the 687 Republicans who displayed the American flag in front of their residence on the Fourth of July is different from the proportion of the 642 Democrats who displayed the American flag in front of their residence on the Fourth of July. g. Interpret the p-value in the context of the study. There is a 5.1% chance that Republicans and Democrats differ by at least 5.1% when it comes to displaying the American flag in front of their residence on the Fourth of July. If the sample proportion of Republicans who display the American flag in front of their residence on the Fourth of July is the same as
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