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Hypothesis Test for Gun Survey Refer to the survey results
Chapter 8, Problem 10CRE(choose chapter or problem)
Problem 10CRE
Hypothesis Test for Gun Survey Refer to the survey results from Exercise and use a 0.01 significance level to test the claim that fewer than 50% of Americans say that they have a gun in their home.
Exercise
Gun Survey In a recent Gallup poll, 1003 randomly selected adults in the United States were asked if they have a gun in their home, and 37.2% of them answered “yes.”
a. What is the number of respondents who answered “yes”?
b. Construct a 95% confidence interval estimate of the percentage of all adults who would answer “yes” when asked if they have a gun in their home.
c. Based on a hypothesis test, can we safely conclude that less than 50% of adults answer “yes” when asked if they have a gun in their home? Why or why not?
d. What is a sensible response to the criticism that the Gallup poll cannot provide good results because the sample size is only 1003 adults selected from a large population of 241, 472, 385 adults in the United States?
Questions & Answers
QUESTION:
Problem 10CRE
Hypothesis Test for Gun Survey Refer to the survey results from Exercise and use a 0.01 significance level to test the claim that fewer than 50% of Americans say that they have a gun in their home.
Exercise
Gun Survey In a recent Gallup poll, 1003 randomly selected adults in the United States were asked if they have a gun in their home, and 37.2% of them answered “yes.”
a. What is the number of respondents who answered “yes”?
b. Construct a 95% confidence interval estimate of the percentage of all adults who would answer “yes” when asked if they have a gun in their home.
c. Based on a hypothesis test, can we safely conclude that less than 50% of adults answer “yes” when asked if they have a gun in their home? Why or why not?
d. What is a sensible response to the criticism that the Gallup poll cannot provide good results because the sample size is only 1003 adults selected from a large population of 241, 472, 385 adults in the United States?
ANSWER:Solution 10CRE