PSYCH 3090 Lecture Notes - Lecture 19: Statistic, Sampling Distribution, Psych
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Testing a hypothesis about a mean: returning to our example, h0: x = 85, ha: x 85, sample of 6th grade students (n = 100). 0. 025 or lower 0. 025 of all possible sample means that would occur by chance when h0 is true: fail to reject h0 if our sample mean falls in the central 0. 95. Between the areas of 0. 025 to the left and 0. 025 to the right: also known as the region of retention, meaning: we keep this hypothesis. If the sample mean falls in these areas (left or right of 0. 025), reject the mean (reject the hypothesis) Testing a hypothesis about a mean: we have a sample mean of 90. Rejecting versus retaining h0: conclusion: reject h0. Testing a hypothesis about a mean: nondirectional hypothesis test. Two-tailed test: possible to detect difference between true value and hypothesized value of the parameter regardless of direction of the difference, see previous example, directional hypothesis test.
