7.4 Two-Tail Test Notes

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5 Terms

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Two-Tail Test Hypotheses

H0: P = , H1: P \neq . Used to check for a change in proportion P.

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Keywords for Two-Tail Test

change, altered, different

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Binomial Distribution in Two-Tail Test

If X \sim Bin(n, p), and x is observed: if x < E(X) = n \times p, find P(X \leq x); if x > E(X) = n \times p, find P(X \geq x)

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Significance Level in Two-Tail Test

Divide significance level by 2. If P > (significance level / 2), accept H0. If P < (significance level / 2), reject H0.

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Critical Region in Two-Tail Test

If observed x falls inside the critical region, reject H0. If not, accept H0.