The owner of a computer company claims that the proportion of defective computer chips produced at plant A is higher than the proportion of defective chips produced by plant B. A quality control specialist takes a random sample of 80 chips from production at plant A and determines that there are 12 defective chips. The specialist then takes a random sample of 90 chips from production at plant B and determines that there are 10 defective chips. Let pA = the true proportion of defective chips from plant A and pB = the true proportion of defective chips from plant B. Which of the following is the correct standardized test statistic for the hypotheses, ?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 7E: List the sample space of each experiment. Selecting a letter of the alphabet
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The owner of a computer company claims that the proportion of defective computer chips produced at plant A is higher than the proportion of defective chips produced by plant B. A quality control specialist takes a random sample of 80 chips from production at plant A and determines that there are 12 defective chips. The specialist then takes a random sample of 90 chips from production at plant B and determines that there are 10 defective chips. Let p= the true proportion of defective chips from plant A and pthe true proportion of defective chips from plant B. Which of the following is the correct standardized test statistic for the hypotheses, ?

 
 
 
 
Sampie
cmps fro
םשיסוטישיושה
prant
Ctemine
uciccive cips. The Specians
then takes a random sample of 90 chips from production at plant B and determines that there are 10 defective
chips. Let pA = the true proportion of defective chips from plant A and pg = the true proportion of defective chips
from plant B. Which of the following is the correct standardized test statistic for the hypotheses,
Ho: PA=Pg and H, PA> Pg?
0.12 - 0.10
(12)(68) (10)(0.80)
80
90
0.10 - 0.12
(0.15)(0.85)
(0.11)(0.89)
80
90
0.12 - 0.10
(0.13)(0.87)
(0.13)(0.87)
80
90
0.10 - 0.12
z =
(0.13)(0.87)
+
(0.13)(0.87)
80
90
Transcribed Image Text:Sampie cmps fro םשיסוטישיושה prant Ctemine uciccive cips. The Specians then takes a random sample of 90 chips from production at plant B and determines that there are 10 defective chips. Let pA = the true proportion of defective chips from plant A and pg = the true proportion of defective chips from plant B. Which of the following is the correct standardized test statistic for the hypotheses, Ho: PA=Pg and H, PA> Pg? 0.12 - 0.10 (12)(68) (10)(0.80) 80 90 0.10 - 0.12 (0.15)(0.85) (0.11)(0.89) 80 90 0.12 - 0.10 (0.13)(0.87) (0.13)(0.87) 80 90 0.10 - 0.12 z = (0.13)(0.87) + (0.13)(0.87) 80 90
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