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

Ariella Silva

Mathematics

28 September, 09:38

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.

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Answers (1)

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Aliza · Answer 1

If the difference does not fall within the confidence level that means we will not get the same results if we carry out the experiment again. Therefore, we must accept the null hypothesis because it states that there is no significant difference in the sample means.