In a lightbulb factory, an administrator selects a random sample of bulbs produced on assembly line A and a random sample of bulbs produced on assembly line B. The administrator calculates the proportion of malfunctioning bulbs produced by each assembly line and finds that the difference between them (A - B) is 0.008. A researcher conducted a hypothesis test with the following hypotheses: H0: The proportion of malfunctioning bulbs from assembly line A is the sample as the proportion of malfunctioning bulbs from assembly line B. HA: The proportion of malfunctioning bulbs from assembly line A is greater than the proportion of malfunctioning bulbs from assembly line B. She found a P-value of 0.016. What is the best interpretation of this P-value? a If there is no difference in the proportions of all defective parts made on the two assembly lines, the probability of observing a difference of at least 0.008 is 0.016. b If there is a difference of 0.016 in the proportions of all defective parts made on the two assembly lines, the probability of observing that difference is 0.008. c If there is no difference in the proportions of all defective parts made on the two assembly lines, the probability of observing a difference equal to 0.008 is 0.016. d If there is a difference of 0.008 in the proportions of all defective parts made on the two assembly lines, the probability of observing that difference is 0.016. e If there is no difference in the proportions of all defective parts made on the two assembly lines, the probability of observing a difference of at most 0.008 is 0.016.
In a lightbulb factory, an administrator selects a random sample of bulbs produced on assembly line A and a random sample of bulbs produced on assembly line B. The administrator calculates the proportion of malfunctioning bulbs produced by each assembly line and finds that the difference between them (A - B) is 0.008. A researcher conducted a hypothesis test with the following hypotheses: H0: The proportion of malfunctioning bulbs from assembly line A is the sample as the proportion of malfunctioning bulbs from assembly line B. HA: The proportion of malfunctioning bulbs from assembly line A is greater than the proportion of malfunctioning bulbs from assembly line B. She found a P-value of 0.016. What is the best interpretation of this P-value? a If there is no difference in the proportions of all defective parts made on the two assembly lines, the probability of observing a difference of at least 0.008 is 0.016. b If there is a difference of 0.016 in the proportions of all defective parts made on the two assembly lines, the probability of observing that difference is 0.008. c If there is no difference in the proportions of all defective parts made on the two assembly lines, the probability of observing a difference equal to 0.008 is 0.016. d If there is a difference of 0.008 in the proportions of all defective parts made on the two assembly lines, the probability of observing that difference is 0.016. e If there is no difference in the proportions of all defective parts made on the two assembly lines, the probability of observing a difference of at most 0.008 is 0.016.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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In a lightbulb factory, an administrator selects a random sample of bulbs produced on assembly line A and a random sample of bulbs produced on assembly line B. The administrator calculates the proportion of malfunctioning bulbs produced by each assembly line and finds that the difference between them (A - B) is 0.008. A researcher conducted a hypothesis test with the following hypotheses:
H0: The proportion of malfunctioning bulbs from assembly line A is the sample as the proportion of malfunctioning bulbs from assembly line B.
HA: The proportion of malfunctioning bulbs from assembly line A is greater than the proportion of malfunctioning bulbs from assembly line B.
She found a P-value of 0.016. What is the best interpretation of this P-value?
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a
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If there is no difference in the proportions of all defective parts made on the two assembly lines, the
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b
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If there is a difference of 0.016 in the proportions of all defective parts made on the two assembly lines, the probability of observing that difference is 0.008.
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c
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If there is no difference in the proportions of all defective parts made on the two assembly lines, the probability of observing a difference equal to 0.008 is 0.016.
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d
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If there is a difference of 0.008 in the proportions of all defective parts made on the two assembly lines, the probability of observing that difference is 0.016.
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e
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If there is no difference in the proportions of all defective parts made on the two assembly lines, the probability of observing a difference of at most 0.008 is 0.016.
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