Download Hypothesis Test Statistics and Confidence Intervals - 1 and more Study notes Statistics in PDF only on Docsity! Hypothesis Test Statistics and Confidence Intervals 1 - Confidence Interval Point Estimate Maximum Error E Hypothesis Test Value (Statistic) NULL Hypothesis: Use the statement containing the condition of equality either directly or implied, as the Null Hypothesis Ho. (TI-84) Single Population (TI-84) One Sample for mean ( is known) (ZInterval) 2 x n z (Z-Test) x n z One Sample for mean ( is unknown) (TInterval) 2 s x t n (T-Test) x s n t One Sample for Proportion p (1-PropZInt) 2 ˆ ˆ ˆ pq n p z (1-PropZTest) ˆ / p p pq n z (TI-84) Dual Population (TI-84) Dependent Paired for d (TInterval) 2 ds d n t (T-Test) d d d s n t Two Independent Samples for 1 - 2 ( 1, 2 are known) (2-SampZInt) 2 2 1 2 1 2 2 1 2 ( )x x n n z (2-SampZTest) 2 1 2 1 2 22 1 1 2 ( ) ( )x x n n z Two Independent Samples for 1 - 2 ( 1, 2 are unknown) (2-SampTInt) 2 2 1 2 1 2 2 1 2 ( ) s s x x t n n (2-SampTTest) 1 2 1 2 2 2 1 2 1 2 ( ) ( )x x t s s n n Two Independent Samples for Proportions p 1 - p 2 (2-PropZInt) 1 1 2 2 1 2 2 1 2 ˆ ˆ ˆ ˆ ˆ ˆ( ) p q p q p p n n z (2-PropZTest) 1 2 1 2 1 2 ˆ ˆ( ) ( )p p p p pq pq n n z where, 1 2 1 1 2 2 1 2 1 2 ˆ ˆ or x x n p n p p p n n n n 1q p 1-Prop: ˆ ˆ ˆ1 1 X x p p N n q p q p Dual Prop: 1 2 1 2 1 2 1 1 2 2 1 2 1 2 1 2 1 2 1 2 1 2 1 1 2 2 1 1 2 2 ˆ ˆ ˆ ˆ or ˆ ˆ ˆ ˆ1 1 1 1 1 X X x x x x n p n p p p p p p p N N n n n n n n q p q p q p q p q p Sample Size Determination for Mean 2 2 2 2 2 2 n E E z z for Proportion p 2 2 2 2 2 2 or use (.25)pq n n E E zz (if p, q unknown) Handout created by Professor Jahn on 3/01/00 and updated by Ms. Neginsky on 1/26/18 df =smaller of n 1 – 1 or n 2 – 1 Use the t-distribution Table for the critical value t Use “NOT POOLED” on the calculator. Use Ho : 1 2 0p p Use Ho : 0d (round up) df = n - 1 Use the t-distribution Table for the critical value t Use Ho : 1 2 0 Use Ho : 1 2 0 Use the Normal z -Table for the critical value z Use the Normal z -Table for the critical value z Use the Normal z -Table for the critical value z Use the Normal z -Table for the critical value z df = n - 1 Use the t-distribution Table for the critical value t
