rsenic-based additives in chicken feed have been banned by the European Union. If a restaurant chain finds significant evidence that the mean arsenic level of their chickens is above 80 ppb (parts per billion), the chain will stop using that supplier of chicken meat. The hypotheses are: H 0 : µ = 80 H 1 : µ > 80 where µ represents the mean arsenic level in all chicken meat from that supplier. Samples from two different suppliers are analyzed, and the resulting p-values are given: Sample from Supplier A: p-value is 0.0003 Sample from Supplier B: p-value is 0.3500 a) Interpret each p-value in terms of the probability of the results happening by random chance. b) Which p-value shows stronger evidence for the alternative hypothesis? c) Which supplier, A or B, should the chain get chickens from in order to avoid too high a level of arsenic?
Arsenic-based additives in chicken feed have been banned by the European Union. If
a restaurant chain finds significant evidence that the mean arsenic level of their
chickens is above 80 ppb (parts per billion), the chain will stop using that supplier of
chicken meat. The hypotheses are:
H 0 : µ = 80
H 1 : µ > 80
where µ represents the mean arsenic level in all chicken meat from that supplier.
Samples from two different suppliers are analyzed, and the resulting p-values are
given:
Sample from Supplier A: p-value is 0.0003
Sample from Supplier B: p-value is 0.3500
a) Interpret each p-value in terms of the probability of the results happening by
random chance.
b) Which p-value shows stronger evidence for the alternative hypothesis?
c) Which supplier, A or B, should the chain get chickens from in order to avoid too
high a level of arsenic?
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