A hypothesis test is performed using the results of a random sample from a large

Question

A hypothesis test is performed using the results of a random sample from a large population. The test is based on the null hypothesis, H_0, that a population parameter takes a particular value, and the alternative hypothesis, H_a, that the parameter does not take that value. Which the following is true? (A) The results could provide convincing evidence that the null hypothesis is true. (B) The results could provide convincing evidence that the alternative hypothesis is true. (C) The results could prove that the alternative hypothesis is false. (D) The null hypothesis can only be rejected if it is false. (E) Failure to reject the null hypothesis means that the null hypothesis is true.

Explanation / Answer

Answer to the question)

When hypothesis testing is done, the main aim is to prove the alternative hypothesis true

Thus when the sample provides results that indicate that the alternate hypothesis is true, then we consider that the sampel provides sufficient evidence to support the claim or the alternate hypothesis.

The rejection of th null does not depend on this part whether it is true or false, this depends on the sample so drawn from the population. If the sample drawn is incorrect it may fail to prove the correct results

.

thus the only correct statement is :

"(B) The results could provide convincing evidence that the alternative hypothesis is true"

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