According to a Gallup poll about gun ownership, in theyear 2016, 270 out of 600 (45%) U.S. households answered “yes†tothe question: “Do you have a gun in your home?â€.
a. List the requirements for constructing a confidenceinterval for a proportion and show how the requirements are met forthis problem.
b. Construct a 95% confidence interval for theproportion of households who own a gun in the year2016.
c. Interpret your confidence interval in part “câ€. (I am____% confident that………).
d. Sample Size: A politician wants to know if theproportion of U.S. households who own a gun is on the rise. Whatsize sample should be obtained if the politician wants an estimatewithin 3 percentage points of the true proportion with 95%confidence if he uses the 2016 estimate of 37.7% (use formula pg.401)?
