![]() If we reject the null hypothesis, then we can assume there is enough evidence to support the alternative hypothesis. The null statement must always contain some form of equality (=, ≤ or ≥) Always write the alternative hypothesis, typically denoted with H a or H 1, using less than, greater than, or not equals symbols, i.e., (≠, >, or <). The null is not rejected unless the hypothesis test shows otherwise. In a hypothesis test, we: Evaluate the null hypothesis, typically denoted with H 0. If certain conditions about the sample are satisfied, then the claim can be evaluated for a population. In a hypothesis test, sample data is evaluated in order to arrive at a decision about some type of claim. Fill in the correct symbol (=, ≠, ≥, ) for the null and alternative hypotheses. We want to test if more than 40% pass on the first try. On a state driver’s test, about 40% pass the test on the first try. This practice is acceptable because we only make the decision to reject or not reject the null hypothesis. However, be aware that many researchers (including one of the co-authors in research work) use = in the null hypothesis, even with > or < as the symbol in the alternative hypothesis. The choice of symbol depends on the wording of the hypothesis test. H a never has a symbol with an equal in it. H 0 always has a symbol with an equal in it. Mathematical Symbols Used in H 0 and H a: H 0 They are “reject H 0” if the sample information favors the alternative hypothesis or “do not reject H 0” or “decline to reject H 0” if the sample information is insufficient to reject the null hypothesis. The evidence is in the form of sample data.Īfter you have determined which hypothesis the sample supports, you make adecision. Since the null and alternative hypotheses are contradictory, you must examine evidence to decide if you have enough evidence to reject the null hypothesis or not. H a: The alternative hypothesis : It is a claim about the population that is contradictory to H 0 and what we conclude when we reject H 0. H 0: The null hypothesis: It is a statement about the population that either is believed to be true or is used to put forth an argument unless it can be shown to be incorrect beyond a reasonable doubt. These hypotheses contain opposing viewpoints. They are called the null hypothesis and the alternative hypothesis. The actual test begins by considering two hypotheses. Describe hypothesis testing in general and in practice. ![]()
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