Finding critical t*-values. What critical value t* from Table D should be used to construct (a) a 95% confidence interval when n 5 12? (b) a 99% confidence interval when n 5 38? (c) a 90% confidence interval when n 5 81?

Week 11: Hypothesis Testing 16 November 2016 Basic Statistics for Research Professor HK Dong Wendy Liu Logic of Hypothesis Testing 1. State the hypothesis 2. Define the decision method 3. Gather data 4. Make a decision Rare event rule of inferential statistics – if, under a given assumption, the probability of a particular observed event is exceptionally small (set by α), we conclude the assumption is probably not correct H 0 Null Hypothesis – assume null hypothesis is true What is tested Has serious outcome if incorrect decision is made Always has equality sign: =, ≥, ≤ Designated H 0 Specified as o H 0 µ = # o H 0 µ ≥ # o H 0 µ ≤ # H a Alternative Hypothesis – true if H0is false