Question

Suppose that you had consumer group wanted to test to see if weight of participants in...

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"

Math   Statistics-And-Probability   
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Answer #1

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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