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.

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Description: 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 assem

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

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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.

H_A: 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.

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