Solved: Olestra is a fat substitute approved by the FDA for use insnack foods. Because

Chapter 9, Problem 53

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Olestra is a fat substitute approved by the FDA for use insnack foods. Because there have been anecdotal reports ofgastrointestinal problems associated with olestra consumption,a randomized, double-blind, placebo-controlledexperiment was carried out to compare olestra potato chipsto regular potato chips with respect to GI symptoms(Gastrointestinal Symptoms Following Consumption ofOlestra or Regular Triglyceride Potato Chips, J. of theAmer. Med. Assoc., 1998: 150152). Among 529 individualsin the TG control group, 17.6% experienced an adverseGI event, whereas among the 563 individuals in the olestratreatment group, 15.8% experienced such an event.a. Carry out a test of hypotheses at the 5% significancelevel to decide whether the incidence rate of GI problemsfor those who consume olestra chips according to theexperimental regimen differs from the incidence rate forthe TG control treatment.b. If the true percentages for the two treatments were15% and 20%, respectively, what sample sizeswould be necessary to detect such a difference withprobability .90?