According to USA Today (Dec. 30,1999), the average age of viewers of MSNBC cable television news programming is 50 years. A random sample of 50 U. S.

households that receive cable television programming yielded the following additional information about the ages of MSNBC news viewers:

5 = 51.3 years and s = 7.1 years Do the sample data provide sufficient evidence to conclude that the average age of MSNBC's viewers is greater than 50 years?

a. Conduct the appropriate hypothesis test.

b. Calculate the observed significance level of the test and interpret its value in the context of the problem.

c. Would the p-value have been larger or smaller if 7 had been larger? Explain.