Even with a heightened awareness of beef quality, 82% of Americans indicated their recent burger-eating behavior has remained the same, according to a recent T.G.I. Friday’s restaurants random survey of 1027 Americans. In fact, half of Americans eat at least one beef burger each week.

That’s a minimum of 52 burgers each year.

Source: Harris Interactive/Yankelovich Partners for T.G.I.

Friday’s restaurants, http://www.knoxville3.com/fridays/

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a. What is the point estimate for the proportion of all Americans who eat at least one beef burger per week?

b. Find the 98% confidence interval for the true proportion p in the binomial situation where n  1027 and the observed proportion is onehalf.

c. Use the results of part b to estimate the percentage of all Americans who eat at least one beef burger per week.