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1. A study in 2010 performed by called people on the phone asked 2251 US adults the question "Do you think global warming is a very serious problem?" 721 of this group of people answered "Yes". (Based on data from the PEW Research Center.) a. Show that the approximate Normality criteria are satisfied (so we can continue with our method). b. What is the value of the sample proportion, ?

1. A study in 2010 performed by called people on the phone asked 2251 US adults the question "Do you think global warming is a very serious problem?" 721 of this group of people answered "Yes". (Based on data from the PEW Research Center.) a. Show that the approximate Normality criteria are satisfied (so we can continue with our method). b. What is the value of the sample proportion, ?

College Algebra (MindTap Course List)
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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1. A study in 2010 performed by called people on the phone asked 2251 US adults the question "“Do you think global warming is a very serious problem?" 721 of this group of people answered "Yes". (Based on data from the PEW Research Center.) a. Show that the approximate Normality criteria are satisfied (so we can continue with our method). b. What is the value of the sample proportion, ? c. What is the approximate standard error, , for the sampling distribution of sample proportions? d. What is the value for the margin of error for a 95% confidence interval? Give the 95% confidence interval for the population proportion, p, for all US adults who would answer "Yes" to this question е. 2010.
Transcribed Image Text:1. A study in 2010 performed by called people on the phone asked 2251 US adults the question "“Do you think global warming is a very serious problem?" 721 of this group of people answered "Yes". (Based on data from the PEW Research Center.) a. Show that the approximate Normality criteria are satisfied (so we can continue with our method). b. What is the value of the sample proportion, ? c. What is the approximate standard error, , for the sampling distribution of sample proportions? d. What is the value for the margin of error for a 95% confidence interval? Give the 95% confidence interval for the population proportion, p, for all US adults who would answer "Yes" to this question е. 2010.
f. Give an interpretation of this confidence interval, for a friend who has never taken a statistics class. A newspaper reported the results of the survey by stating in a headline that "Fewer Than One-third of US Adults Think That Global Warming Is a Serious Problem." Based on your confidence interval, comment on this headline.
Transcribed Image Text:f. Give an interpretation of this confidence interval, for a friend who has never taken a statistics class. A newspaper reported the results of the survey by stating in a headline that "Fewer Than One-third of US Adults Think That Global Warming Is a Serious Problem." Based on your confidence interval, comment on this headline.
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