Considering the p-value of of the test, it is found that the correct option is:
III. A 99 percent confidence interval for the difference in means will contain the value 0.
What is the p-value and the confidence interval?
- If the p-value is less than the [tex]\alpha[/tex] level, given by 1 subtracted by the confidence level, it does not contain the value tested at the null hypothesis.
- If it is more, it contains the value tested at the null hypothesis.
In this problem, we have that the p-value is of 0.03, hence the confidence interval will contain the value of 0, tested at the null hypothesis, for confidence levels above 97%, hence option III is correct.
More can be learned about p-values at https://brainly.com/question/13873630