Recent incidents of food contamination have caused greatconcern among consumers. The

Chapter 9, Problem 50

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Recent incidents of food contamination have caused greatconcern among consumers. The article How Safe Is ThatChicken? (Consumer Reports, Jan. 2010: 1923) reportedthat 35 of 80 randomly selected Perdue brand broilerstested positively for either campylobacter or salmonella (orboth), the leading bacterial causes of food-borne disease,whereas 66 of 80 Tyson brand broilers tested positive.a. Does it appear that the true proportion of noncontaminatedPerdue broilers differs from that for theTyson brand? Carry out a test of hypotheses using asignificance level .01.b. If the true proportions of non-contaminated chickensfor the Perdue and Tyson brands are .50 and .25,respectively, how likely is it that the null hypothesis ofequal proportions will be rejected when a .01 significancelevel is used and the sample sizes are both 80?

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