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mathematical formula for null hypothesis. It is explained that the definition of an alternative hypothesis is the expected outcome that opposes the null hypothesis. Z 58 min 50 min 169.
The t-test is any statistical hypothesis test in which the test statistic follows a Students t-distribution under the null hypothesis. Z 58 min 50 min 169. Writing null and alternative hypotheses.
In regression analysis the null hypothesis is that the coefficient of multiple determination R 2 is zero.
Practice writing null and alternative hypotheses for a significance test. The null statement must always contain some form of equality leq textor geq Always write the alternative hypothesis typically denoted with H_a or H_1 using less than greater than or not equals symbols ie neq textor. In reality the null hypothesis may or may not be true and a decision is made to reject or not reject it on the basis of the data obtained from a sample. In a mathematical formulation of the null hypothesis there will typically be an equal sign.