Suppose we want to test the hypothesis that the probability that a semiconductor is defective is less than 0.05. To this end, we take a sample of 200 devices and find that 6 are defective. At level of significance 0.05, what can we conclude? O a. The z statistic -1.3, and the p-value 0.046. Therefore, we reject the null hypothesis. O b. The z statistic -2.3, and the p-value 0.03. Therefore, we reject the null hypothesis. O. The z statistic -1.3, and the p-value 0.096. Therefore, we fail to reject the null hypothesis. O d. Background conditions are not satisfied, therefore we cannot conduct this hypothesis test.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Suppose we want to test the hypothesis that the probability that a semiconductor is defective is less than 0.05. To this end, we take a sample of 200 devices and find that 6 are defective. At level of significance 0.05,
what can we conclude?
а.
The z statistic -1.3, and the p-value 0.046. Therefore, we reject the null hypothesis.
b. The z statistic -2.3, and the p-value 0.03. Therefore, we reject the null hypothesis.
c. The z statistic -1.3, and the p-value 0.096. Therefore, we fail to reject the null hypothesis.
d. Background conditions are not satisfied, therefore we cannot conduct this hypothesis test.
Transcribed Image Text:Suppose we want to test the hypothesis that the probability that a semiconductor is defective is less than 0.05. To this end, we take a sample of 200 devices and find that 6 are defective. At level of significance 0.05, what can we conclude? а. The z statistic -1.3, and the p-value 0.046. Therefore, we reject the null hypothesis. b. The z statistic -2.3, and the p-value 0.03. Therefore, we reject the null hypothesis. c. The z statistic -1.3, and the p-value 0.096. Therefore, we fail to reject the null hypothesis. d. Background conditions are not satisfied, therefore we cannot conduct this hypothesis test.
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