Suppose that you had consumer group wanted to test to see if weight of participants in a weight loss program changed (up or down). They computed a 95% confidence interval of the result (-4.977, 2.177).
Suppose that we had a significance test with the following hypothesis:
Ho: population mean weight loss = 0
Ha: population mean weight loss does not equal 0
What do we know about the p-value for the test?
It would be greater than 0.05. |
It would be equal to 0.05. |
It would be less than 0.05. |
Can't be determined. |
Answer is not "It would be greater than 0.05"
Solution
When the p value is less than the significance level , then we reject the null hypothesis and the test is said to be "significant".
When the p value is grater than equal to the significance level , then we fail to reject the null hypothesis and the test is said to be "not significant".
In given example , we are given a 95% confidence interval.
c = 95% = 0.95
= 1 - c = 0.05
Also , it is given that the test is significant.
For significant test , the p value is less than .
So the answer is "It would be less than 0.05."
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