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.
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 and the observed proportion is one-half.
c. Use the results of part b to estimate the percentage of all Americans who eat at least one beef burger per week.