A consumer advocate conducted a hypothesis test at the 5% significance level to determine if the mean level of impurities in a bottled water product is higher than the manufacturer's advertised value of 20 parts per million. The advocate collected 25 samples, measured the impurities, calculated a test statistic and obtained a p-value of 0.0423. Which of the following correctly states the advocate's conclusion and reason for the conclusion? A. Reject the null hypothesis because the p-value is smaller than the significance level of the test. B. Fail to reject the null hypothesis because the p-value is larger than the significance level of the test. C. Accept the null hypothesis because the p-value is smaller than the significance level of the test. D. The conclusion cannot be determined from the information given without knowing the sample mean and standard deviation.
A consumer advocate conducted a hypothesis test at the 5% significance level to determine if the mean level of impurities in a bottled water product is higher than the manufacturer's advertised value of 20 parts per million. The advocate collected 25 samples, measured the impurities, calculated a test statistic and obtained a p-value of 0.0423. Which of the following correctly states the advocate's conclusion and reason for the conclusion? A. Reject the null hypothesis because the p-value is smaller than the significance level of the test. B. Fail to reject the null hypothesis because the p-value is larger than the significance level of the test. C. Accept the null hypothesis because the p-value is smaller than the significance level of the test. D. The conclusion cannot be determined from the information given without knowing the sample mean and standard deviation.
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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Transcribed Image Text:A consumer advocate conducted a hypothesis test at the 5% significance level to
determine if the mean level of impurities in a bottled water product is higher than the
manufacturer's advertised value of 20 parts per million. The advocate collected 25
samples, measured the impurities, calculated a test statistic and obtained a p-value of
0.0423. Which of the following correctly states the advocate's conclusion and reason
for the conclusion?
A. Reject the null hypothesis because the p-value is smaller than the significance
level of the test.
B. Fail to reject the null hypothesis because the p-value is larger than the
significance level of the test.
C. Accept the null hypothesis because the p-value is smaller than the significance
level of the test.
D. The conclusion cannot be determined from the information given without
knowing the sample mean and standard deviation.
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