For the samples taken from two populations, the difference between the sample means does not fall within the 95% confidence interval. If the null hypothesis is, "There is no difference in the sample means," which statement is true?

A.

The null hypothesis must be accepted.

B.

The null hypothesis must be rejected.

C.

Both the null and the alternative hypotheses must be rejected.

D.

Both the null and the alternative hypotheses must be accepted.

Question

Mathematics

Harley Zhang

22 July, 20:26

For the samples taken from two populations, the difference between the sample means does not fall within the 95% confidence interval. If the null hypothesis is, "There is no difference in the sample means," which statement is true?

A.

The null hypothesis must be accepted.

B.

The null hypothesis must be rejected.

C.

Both the null and the alternative hypotheses must be rejected.

D.

Both the null and the alternative hypotheses must be accepted.

+1

Answers (1)

Know the Answer?

Rayan Rojas · Answer 1

Option B is right

Step-by-step explanation:

Given that there was a comparison test for two samples done. The differnce between the sample means does not fall within 95% confidence interval.

This means that there is 95% chance that there will be a significant difference between the two means.

Hence whenever we compare two samples, we find the mean difference, margin of error, and confidence interval 95%

Whenever the mean difference does not fall within the confidence interval, we find that the null hypothesis namely that the two means are equal cannot be accepted

Hence option B is true.