Use the following to answer Questions 23-24 Sale of eggs that are contaminated w

Question

Use the following to answer Questions 23-24 Sale of eggs that are contaminated with salmonella can cause food poisoning among consumers. A large egg producer takes an SRS of 200 eggs from all the eggs shipped in one day. The laboratory reports that 9 of these eggs had salmonella contamination. Unknown to the producer, 0.1% (one-ten of one percent) of all eggs shipped had salmonella. th 23. A statistician tells the producer that the margin of error for a 95% confidence statement for these data is about plus or minus 3 percentage points. that between 1.5% and 7.5% (that's 4.5% 3%) of all eggs are contaminated. This isnt right-only 0.1% are contaminated, what went wrong? he producer therefore reports A) The 4.5% is wrong-see my answer to the previous problem for the correct estimate. A 95% confidence statement is only right for 95% of all possible samples. This must be one of the 5% for which we get an incorrect conclusion. The 4.5% is correct, and it's impossible for the truth to lie outside the margin of error, so there must be another mistake. Maybe the laboratory counted contaminated eggs incorrectly C) Ans: 24. If the producer took an SRS of 400 eggs instead of 200, the new margin of error would be the same as before because the population of eggs is the same. smaller than before because the sample is larger. Page 6 B)

Explanation / Answer

23) option B is correct

24)

option B ;smaller than before becuase the sample is larger and margin of error is inversely proportional to square root of sample size

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