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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Chapter1: Combinatorial Analysis
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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.
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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