Packagesof Tyson and Perdue chickenwere purchased. Laboratory tests found campyl

Question

Packagesof Tyson and Perdue chickenwere purchased. Laboratory tests found campylobacter contaminationin 35 of the 75 Tyson packages and 22 of the75 Perdue packages.

The 95% confidenceinterval for the difference in the proportionsof Tyson and Perdue chickenpackages that have bacterial contamination is (.02048,.32619). Whatdoes this interval suggest about the difference in the proportionsof Tyson and Perdue chickenpackages with bacterial contamination (chooseone)?

  i.) Tyson's sample proportion ishigher than Perdue's soclearly Tyson has the greater true proportion ofcontaminated chicken.

ii.) Weare 95% confident that the interval in question 3 captures the truedifference in proportions, so it appearsthat Tyson chicken has a greater proportion ofpackages with bacterial contaminationthan Perdue chicken.  

iii) Natural sampling variation is the onlyreason that Tyson appears to have a higherproportion of packages with bacterialcontamination.

Explanation / Answer

ii.) We are95% confident that the interval in question captures the truedifference in proportions, so it appearsthat Tyson chicken has a greater proportion ofpackages with bacterial contaminationthan Perdue chicken.

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