In: Statistics and Probability
can we prove the alternative hypothesis using statistics
We cannot prove the alternative hypothesis using statistics
Explanation:
In Hypothesis Testing, if the calculated value of test statistic is less than critical value, the difference is not significant. Fail to reject null hypothesis. If the calculated value of test statistic is greater than critical value, the difference is significant. Reject null hypothesis.
Thus, If the calculated value of test statistic is greater than critical value, it implies that we have a strong evidence to conclude that the null hypothesis is not true. But, fromthis, we cannot infer that we have a strong evidence to conclude that the alternative hypothesis is true. i.e., Rejecting null hypothesis does not automatically imply accepting alternative hypothesis.