. A company that sells quality dishware has two manufacturing plants. In a quality control inspection of a random sample of 200 dishes from plant A, 8% of the dishes had at least one defect. In a random sample of 200 dishes from plant B, 5% of the dishes had at least one defect. To determine if there is convincing evidence that the true proportion of defective dishes from plant A is more than the true proportion of defective dishes from plant B, you test the hypotheses Ho: PA - PB = 0 versus Ha: PA PB 0 and obtain a p-value of 0.112. Which of the following is an appropriate interpretation of this p-value? (A) If the true proportion of defective dishes at plant A is more than the true proportion of defective dishes at plant B, there is a 0.112 probability of getting samples with a difference PA - PB equal to 0.03. (B) If the true proportion of defective dishes at the two plants are equal, there is a 0.112 probability of getting samples with a difference PA-PB equal to 0.03. (C) If the true proportion of defective dishes at the two plants are equal, there is a 0.112 probability of getting samples with a difference PA - PB greater than or equal to 0.03. (D) The probability of making a Type I error is 0.112. (E) The probability that the true proportion of defective dishes at plant A is more than the true proportion of defective dishes at plant B is 0.112.
. A company that sells quality dishware has two manufacturing plants. In a quality control inspection of a random sample of 200 dishes from plant A, 8% of the dishes had at least one defect. In a random sample of 200 dishes from plant B, 5% of the dishes had at least one defect. To determine if there is convincing evidence that the true proportion of defective dishes from plant A is more than the true proportion of defective dishes from plant B, you test the hypotheses Ho: PA - PB = 0 versus Ha: PA PB 0 and obtain a p-value of 0.112. Which of the following is an appropriate interpretation of this p-value? (A) If the true proportion of defective dishes at plant A is more than the true proportion of defective dishes at plant B, there is a 0.112 probability of getting samples with a difference PA - PB equal to 0.03. (B) If the true proportion of defective dishes at the two plants are equal, there is a 0.112 probability of getting samples with a difference PA-PB equal to 0.03. (C) If the true proportion of defective dishes at the two plants are equal, there is a 0.112 probability of getting samples with a difference PA - PB greater than or equal to 0.03. (D) The probability of making a Type I error is 0.112. (E) The probability that the true proportion of defective dishes at plant A is more than the true proportion of defective dishes at plant B is 0.112.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:. A company that sells quality dishware has two manufacturing plants. In a quality control inspection
of a random sample of 200 dishes from plant A, 8% of the dishes had at least one defect. In a
random sample of 200 dishes from plant B, 5% of the dishes had at least one defect. To determine if
there is convincing evidence that the true proportion of defective dishes from plant A is more than
the true proportion of defective dishes from plant B, you test the hypotheses Ho: PA - PB = 0 versus
Ha: PA PB 0 and obtain a p-value of 0.112.
Which of the following is an appropriate interpretation of this p-value?
(A) If the true proportion of defective dishes at plant A is more than the true proportion of defective
dishes at plant B, there is a 0.112 probability of getting samples with a difference PA - PB equal
to 0.03.
(B) If the true proportion of defective dishes at the two plants are equal, there is a 0.112 probability
of getting samples with a difference PA-PB equal to 0.03.
(C) If the true proportion of defective dishes at the two plants are equal, there is a 0.112 probability
of getting samples with a difference PA - PB greater than or equal to 0.03.
(D) The probability of making a Type I error is 0.112.
(E) The probability that the true proportion of defective dishes at plant A is more than the true
proportion of defective dishes at plant B is 0.112.
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