Question

6. (15) The USDA limit for salmonella contamination for chicken is 20%. A meat inspector reports that the chicken produced by a company exceeds the USDA limit. You perform a hypothesis test to determine whether the meat inspector’s claim is true. a. (5) State the null and the alternate hypotheses. b. (5)In the context of this problem, describe the type I error and the consequences of that error. c. (5) In the context of this problem, describe the type II error and the consequences of that error. d. If we increase the significance from 5% to 10%, what will happen to the probability of i. (2) A type I error? ii. (2) A type II error?

Answer 1

a) null hypothesis: Ho: =20

alternate hypothesis:Ha:>20

b)Type I error: We conclude that  chicken produced by a company exceeds the USDA limit while in actual it does not excced

Consequence of this error is cancellation of the license of company mistakenly

c) Type I error: We fail to conclude that chicken produced by a company exceeds the USDA limit while in actual it does

Consequence of this error is that company will keep on serving the contaminated salmonella

d)

Type I error will increase as it is directly equal to level og significance

while type II error will decrease as it reduces when type I error increases