Data 4.5 on page 228 discusses a test to determine if the mean level of arsenic in chicken meat is above 80 ppb. If a restaurant chain finds significant evidence that the mean arsenic level is above 80, the chain will stop using that supplier of chicken meat. The hypotheses are
H₀: μ = 80
H_a: 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? What does this mean in terms of arsenic and chickens?
(c) Which supplier, A or B, should the chain get chickens from in order to avoid too high a level of arsenic?