study guide - NCSU Statistics

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Hypothesis testing for one population

(chapter 8 devore and cartoon guide)

(1) what is idea, can you put a word problem in this framework of Ho and H1,

(2) alpha : type I error, Beta : type II error, can both be small at same time??

(3) 4 steps of cartoon guide or 7 steps of devore for a hypothesis test, whats your conclusion (ACCEPT or REJECT. 17 royal flushes ??)

(4) compute z-test or t-test as test statistic

(5) compute a p-value and use it to make a decision about a hypothesis

(6) for a specified alternative hypothesis, compute BETA the probability of a type II error

(7) find the sample size to have a specified alpha and beta

(8) apply hypothesis testing to proportions, using z for large samples and the binomial distribution for small samples

Hypothesis testing for two populations

(chapter 9 section 1 Devore)

1) Follow 7 steps of hypothesis trsting for the difference in means of two populations,

2) Where for the two populations either: Case I the standard deviations

are known,

3) Or case II: a large sample where the sample standard deviations are used instead of

4) Perform power calculations for a specified alternative similar to the one population case

5) Compute required sample size to achieve specified alpha and beta

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