The reliability of two types of machines used in the same manufacturing process is to be tested. The first machine failed to operate correctly in 90 out of 300 trials while the second type failed to operate correctly in 50 out of 250 trials. Carry out a hypothesis test to check whether there is a statistically significant difference in the reliability for the two types of machines using a 0.10 level of significance. (a) Calculate the pooled estimate of the population proportion. (b) Compute the value of the test statistic
The reliability of two types of machines used in the same manufacturing process is to be tested. The first machine failed to operate correctly in 90 out of 300 trials while the second type failed to operate correctly in 50 out of 250 trials. Carry out a hypothesis test to check whether there is a statistically significant difference in the reliability for the two types of machines using a 0.10 level of significance. (a) Calculate the pooled estimate of the population proportion. (b) Compute the value of the test statistic
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 58E: What is meant by the sample space of an experiment?
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The reliability of two types of machines used in the same manufacturing process is to be tested. The first machine failed to operate correctly in 90 out of 300 trials while the second type failed to operate correctly in 50 out of 250 trials. Carry out a hypothesis test to check whether there is a statistically significant difference in the reliability for the two types of machines using a 0.10 level of significance.
(a) Calculate the pooled estimate of the population proportion.
(b) Compute the value of the test statistic.
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