Answered

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A two-sample t test of the hypothesis H0: mu1 - mu2 = 0 versus HA: mu1 - mu2 > 0 produces a p-value of 0.03. Which of the following must be true? I. A 90 percent confidence interval for the difference in means will contain the value 0. II. A 95 percent confidence interval for the difference in means will contain the value 0. III. A 99 percent confidence interval for the difference in means will contain the value 0.

Sagot :

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

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