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(a) Suppose the sample of chickens from Supplier A contained 100 ppb of arsenic. Use the randomization distribution to find the p-value. (Hint: There are 500 dots on the graph. What proportion of the dots are at 100 or greater?) (b) Suppose the sample of chickens from Supplier B contained 90 ppb of arsenic. Use the randomization distribution to find the p-value. (Do it in a way similar to Part (a)) (c) If the supermarket chain uses a 5% significance level, would it cancel its relationship with Supplier A? Would it cancel its relationship with Supplier B?

(a) Suppose the sample of chickens from Supplier A contained 100 ppb of arsenic. Use the randomization distribution to find the p-value. (Hint: There are 500 dots on the graph. What proportion of the dots are at 100 or greater?) (b) Suppose the sample of chickens from Supplier B contained 90 ppb of arsenic. Use the randomization distribution to find the p-value. (Do it in a way similar to Part (a)) (c) If the supermarket chain uses a 5% significance level, would it cancel its relationship with Supplier A? Would it cancel its relationship with Supplier B?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 31PPS
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(a) Suppose the sample of chickens from Supplier A contained 100 ppb of arsenic. Use the randomization distribution to find the p-value. (Hint: There are 500 dots on the graph. What proportion of the dots are at 100 or greater?) (b) Suppose the sample of chickens from Supplier B contained 90 ppb of arsenic. Use the randomization distribution to find the p-value. (Do it in a way similar to Part (a)) (c) If the supermarket chain uses a 5% significance level, would it cancel its relationship with Supplier A? Would it cancel its relationship with Supplier B? (d) For each supplier, the supermarket chain has to decide whether or not to cancel its relationship with the supplier, based on the average amount of arsenic found in the sample of chicken from that supplier. Describe what a Type I error would be in this situation. What would be the consequences? (e) Describe how a Type II error might occur. What would be the consequences?
Transcribed Image Text:(a) Suppose the sample of chickens from Supplier A contained 100 ppb of arsenic. Use the randomization distribution to find the p-value. (Hint: There are 500 dots on the graph. What proportion of the dots are at 100 or greater?) (b) Suppose the sample of chickens from Supplier B contained 90 ppb of arsenic. Use the randomization distribution to find the p-value. (Do it in a way similar to Part (a)) (c) If the supermarket chain uses a 5% significance level, would it cancel its relationship with Supplier A? Would it cancel its relationship with Supplier B? (d) For each supplier, the supermarket chain has to decide whether or not to cancel its relationship with the supplier, based on the average amount of arsenic found in the sample of chicken from that supplier. Describe what a Type I error would be in this situation. What would be the consequences? (e) Describe how a Type II error might occur. What would be the consequences?
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By canceling their relationship with Supplier A, it's possible that the supermarket chain commited a Type 1 error.  Tell what consequences of a Type 1 error would be in regard to the supermarket chain and Supplier A.

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