Arsenic in Chicken Arsenic-based additives in chicken feed have been banned by t

Question

Arsenic in Chicken
Arsenic-based additives in chicken feed have been banned by the European Union but are mixed in the diet of about 70% of the 9 billion broiler chickens produced annually in the US.1 Many restaurant and supermarket chains are working to reduce the amount of arsenic in the chicken they sell. To accomplish this, one chain plans to measure, for each supplier, the amount of arsenic in a random sample of chickens. The chain will cancel its relationship with a supplier if the sample provides sufficient evidence that the average amount of arsenic in chicken provided by that supplier is greater than 80 ppb (parts per billion). 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:?=80
Ha:?>80,
where ? 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 0.35
Sample from Supplier B: p-value is 0.0027

(1) Which p-value shows stronger evidence for the alternative hypothesis??
(a) p-value ?=0.35
(b) p-value ?=0.0027

(2) Which supplier, A or B, should the chain get chickens from in order to avoid too high a level of arsenic??
(a) Supplier A
(b) Supplier B

Explanation / Answer

#1.
As p-value 0.0027 is less than the significance level of 0.05, we reject the null hypothesis.
This means there are significanct evidence to conclude that supplier B has the mean arsenic level above 80.

#2.
Supplier A will be suitable.

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