Question

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?

Group of answer choices

Can't be determined.

It would be less than 0.05.

It would be greater than 0.05.

It would be 0.05.

Answer 1

Solution:

Given:  a 95% confidence interval of the result (-4.977, -2.177)

Hypothesis are:

Ho: population mean weight loss = 0

Ha: population mean weight loss does not equal 0

Since 95% confidence interval of the result (-4.977, -2.177), in which both the limits are less than 0, so this shows that population mean weight loss is significantly different from 0. thus we should reject null hypothesis H0.

If we are rejecting null hypothesis , then p-value should be less than significance level.

Here we have c = confidence level = 0.95 , then significance level = 1 - c = 1 - 0.95 = 0.05

Thus p-value should be less than 0.05 in order to reject null hypothesis H0.

Thus correct option is: It would be less than 0.05.