In a recent Galluppoll, 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 Galluppoll 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?