What percentage of Contra Costa County adults supports a ban on assault-style weapons? Suppose that we survey a random sample of 100 adults living in Contra Costa County and find that 62% support a ban on assault-style weapons.

College Algebra (MindTap Course List)
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Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 8E: List the sample space of each experiment. Picking a one-digit number
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2) What percentage of Contra Costa County adults supports a ban on assault-style
weapons?
Suppose that we survey a random sample of 100 adults living in Contra Costa
County and find that 62% support a ban on assault-style weapons.
According to a 2015 study by the Pew Research Center, 57% of U.S. adults favor
a ban on assault-style weapons. Assuming that the variability in random samples
will be the same in Contra Costa County as in the U.S., find the 95% confidence
interval to estimate the proportion of CCC adults that favor a ban on assault-style
weapons.
a) Verify that the conditions for the use of the normal model are met using the
2015 study.
b) Why do we check conditions for use of the normal model?
c) Calculate the standard error based on the 2015 study. What does this
humber tell us?
d) Find the 95% confidence interval for Contra Costa County.
e) Write a sentence to interpret the interval.
f) Are we confident that the majority of Contra Costa County residents support
a ban on assault-style weapons? Why or why not?
g) Are we confident that the percentage of Contra Costa County residents that
supports a ban is greater than the percentage nationwide as reported by the
Pew Research Center? Why or why not?
Transcribed Image Text:2) What percentage of Contra Costa County adults supports a ban on assault-style weapons? Suppose that we survey a random sample of 100 adults living in Contra Costa County and find that 62% support a ban on assault-style weapons. According to a 2015 study by the Pew Research Center, 57% of U.S. adults favor a ban on assault-style weapons. Assuming that the variability in random samples will be the same in Contra Costa County as in the U.S., find the 95% confidence interval to estimate the proportion of CCC adults that favor a ban on assault-style weapons. a) Verify that the conditions for the use of the normal model are met using the 2015 study. b) Why do we check conditions for use of the normal model? c) Calculate the standard error based on the 2015 study. What does this humber tell us? d) Find the 95% confidence interval for Contra Costa County. e) Write a sentence to interpret the interval. f) Are we confident that the majority of Contra Costa County residents support a ban on assault-style weapons? Why or why not? g) Are we confident that the percentage of Contra Costa County residents that supports a ban is greater than the percentage nationwide as reported by the Pew Research Center? Why or why not?
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