Hypothesis Test Structure

A hypothesis test follows: (1) state H₀ (null hypothesis) and H₁ (alternative hypothesis); (2) select a significance lev

Expectation Algebra

8.1: Expectation Algebra

Mathematical rules for expected values: E(aX+b) = aE(X)+b, E(X+Y) = E(X)+E(Y), and E(XY) = E(X)E(Y) when X and Y are ind

Expectation Algebra

8.1: Expectation Algebra

Mathematical rules for variance: Var(aX+b) = a²Var(X), Var(X+Y) = Var(X)+Var(Y) when independent, and Var(X-Y) = Var(X)+

Expectation Algebra

8.4, 15.7: Acceptance Region

The acceptance region consists of test statistic values inside the critical value(s). If the test statistic falls in thi

Expectation Algebra

8.4, 15.7: Acceptance Region

The rejection region consists of test statistic values beyond the critical value(s). If the test statistic falls in this

Expectation Algebra