Statistical Hypothesis Testing: Self-Assessment Questions - Prof. Yasar Yesilcay, Study notes of Statistics

Download Statistical Hypothesis Testing: Self-Assessment Questions - Prof. Yasar Yesilcay and more Study notes Statistics in PDF only on Docsity! Questions to Ask YOURSELF for Identifying Problems Revised on December 3, 2020 Questions to ask Tests Statistic Alternative Hypothesis (You have to write H0) P-Value H ow m an y p op u la ti on s? In d ep en d en t sa m p le s? P ar am et er (s ) of in te re st One N/A μ (n 1) X X ~ t S X T / n     HA:  > 0 P(T(n-1)  Tcal) HA:  < 0 P(T(n-1)  Tcal) HA:   0 2P(T(n-1)  |Tcal|) N/A p 0 0 0 p̂ p Z ~ N(0,1) p (1 p ) n    HA: p > p0 P(Z  Zcal) HA: p < p0 P(Z  Zcal) HA: p  p0 2P(Z  |Zcal|) Two Y e s μ1 – μ2 0 (df )2 2 X Y X Y ~ t S S n n (X Y)T      df = smaller of (nX – 1) and (nY – 1) HA: 1-2 > 0 P(T(df)  Tcal) HA: 1-2 < 0 P(T(df)  Tcal) HA: 1-2  0 2P(T(df)  |Tcal|) No μ1 – μ2 0 (n 1) d ~ t S dT / n     df = n - 1 HA: 1-2 > 0 P(T(df)  Tcal) HA: 1-2 < 0 P(T(df)  Tcal) HA: 1-2  0 2P(T(df)  |Tcal|) Yes p1 – p2 1 2 1 2 ˆ ˆ(p p ) 0 Z ~ N(0,1) 1 1ˆ ˆp(1 p) n n       HA: p1 - p2 > 0 P(Z  Zcal) HA: p1 - p2 < 0 P(Z  Zcal) HA: p1 - p2  0 2P(Z  |Zcal|)