The alternative hypothesis is effectively the opposite of a null hypothesis. Thus, they are mutually exclusive , and only one can be true. However, one of the two hypotheses will always be true.

Step 1: Based on the null and alternative hypotheses and given alpha, find a critical z-value (or z-values). Remember that alpha is the tail probability (in the right tail for the given alternative ...

Hypothesis testing provides a method to reject a null hypothesis within a certain confidence level. If you can reject the null hypothesis, it provides support for the alternative hypothesis.

They developed an approach called hypothesis testing in which the p value serves only to help the researcher make an optimised choice between the null hypothesis and an alternative hypothesis: If ...

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The null hypothesis is H0: Die is fair (p 1 =p 2 =p 3 =p 4 =p 5 =p 6 =1/6 where pi is the probability of side i on the die), and the alternative hypothesis is Ha: Die is not fair (Not (p 1 =p 2 =p 3 ...