In a test of the hypotheses Ho: M1 = 2 versus Ha: μ₁ μ2 where μ = population mean average blood sugar level of patients for two different treatments, the P- value is 0.0156. Which of the following is the appropriate interpretation of the P-value? If it were true that the population mean blood sugar level of the two treatments are different, then we would see sample results such as these or more extreme 1.56% of the time. If it were true that the population mean blood sugar level of the two treatments are equal, then we would see sample results such as these or more extreme 1.56% of the time. Since the P-value (0.0156) is less than 0.05 we would reject the null and say that there is significant evidence at the 5%-level to say that the means for these two treatments would be different. There is a 1.56% chance that the population mean blood sugar levels for the two treatments are equal. Since the P-value (0.0156) is greater than 0.01 we would fail to reject the null and say that there is not significant evidence at the 1%-level to say that the means for these two treatments would be different.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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In a test of the hypotheses Ho: M1 = μ2 versus H₁ : μ₁‡ μ2 where u =
population mean average blood sugar level of patients for two different treatments, the P-
value is 0.0156. Which of the following is the appropriate interpretation of the P-value?
If it were true that the population mean blood sugar level of the two treatments are
different, then we would see sample results such as these or more extreme 1.56% of the
time.
If it were true that the population mean blood sugar level of the two treatments are equal,
then we would see sample results such as these or more extreme 1.56% of the time.
Since the P-value (0.0156) is less than 0.05 we would reject the null and say that there is
significant evidence at the 5%-level to say that the means for these two treatments would
be different.
O
There is a 1.56% chance that the population mean blood sugar levels for the two
treatments are equal.
O
Since the P-value (0.0156) is greater than 0.01 we would fail to reject the null and say
that there is not significant evidence at the 1%-level to say that the means for these two
treatments would be different.
Page 26 of 42
Transcribed Image Text:In a test of the hypotheses Ho: M1 = μ2 versus H₁ : μ₁‡ μ2 where u = population mean average blood sugar level of patients for two different treatments, the P- value is 0.0156. Which of the following is the appropriate interpretation of the P-value? If it were true that the population mean blood sugar level of the two treatments are different, then we would see sample results such as these or more extreme 1.56% of the time. If it were true that the population mean blood sugar level of the two treatments are equal, then we would see sample results such as these or more extreme 1.56% of the time. Since the P-value (0.0156) is less than 0.05 we would reject the null and say that there is significant evidence at the 5%-level to say that the means for these two treatments would be different. O There is a 1.56% chance that the population mean blood sugar levels for the two treatments are equal. O Since the P-value (0.0156) is greater than 0.01 we would fail to reject the null and say that there is not significant evidence at the 1%-level to say that the means for these two treatments would be different. Page 26 of 42
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