204 exm4 Topics - Chp 10 One Sample Hypothesis Tests A Ho...

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Chp. 10 One Sample Hypothesis Tests A) Ho, Ha, Type I and Type II errors, α,β, p-value B) Perform and interpret single sample hypothesis tests concerning 1) μ w/ σ use a z test TI STAT TESTS Z-Test PHStat 1 Sample Tests Z test for the mean σ known w/ s use a t test TI STAT TESTS T-Test PHStat 1 Sample Tests T test for the mean σ unknown 2) Proportion p Small sample sizes, use the binomial distribution TI 2 nd vars binomialcdf(n, o p , x) for prob(nbr successes ≤ x) 1- binomialcdf(n, o p , x-1) for prob(nbr successes ≥ x) PHStat probability and prob. Distributions Binomial Large sample sizes, use the normal distribution TI STAT TESTS 1-PropZ Test PHStat 1 Sample Tests Z test for the Proportion C) Calculate the Power and β of a test Step 1) Find the critical region using o μ . Step 2) Find the probability of being in the critical region assuming a particular value for Ha is true. This value = Power. Power + β = 1 D) Ways to increase power i) increase n ii) increase the distance between o μ and t μ iii) increase
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