According to the U.S. Department of Justice, 27% of violent crimes involve the use of a weapon. We will assume that data file XR10109 contains a sample of the crime information for a given city, with data for the 400 crimes coded as 1 crime involved a weapon and 2 crime did not involve a weapon.
Using the 0.05 level in a two-tail test, was the percentage of violent crimes involving a weapon in this city significantly different from the 27% in the nation as a whole? Identify and interpret the p-value for the test.