Question

Question 101 pts 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 (2.177, 4.977). What do we know about the p-value for the test? Group of answer choices It would be greater than 0.05. Can not be determined. It would be 0.05. It would be less than 0.05.

Answer 1

Answer:

It would be less than 0.05.

Step-by-step explanation:

The hypothesis test was done to claim that the weight of participants has changed.

The null and alternative hypothesis could be written as:

$H_0: \mu=0\\\\H_a: \mu\neq0$

being μ the population mean change in weight.

With that information, we can tell that is a two tailed test. Sample means that fall in any of the tails, with a z-statistic over 1.96 or under -1.96 (at a significance level of 0.05), will be evidence to reject the null hypothesis.

The information we have about the sample is the 95% confidence interval calculated from the sample information.

This confidence interval does not include the value μ=0.

Then, there is 2.5% of probabiltity that the population mean is under 2.177, the lower bound of the interval, which includes the value μ=0.

With this information, we can conclude that the P-value have to be under 0.05.