Hypothesis Testing for proportions Equations

p {margin: 0; padding: 0;} & NOV pothesis testing for proportions objectives : : Z- - test (basically use Fortest For testing goodness of fit only For testing independence of two P-P level of significance attributes pq 0.05 h 2 Degree of freedom X for testing goodness of fit 8 1) see the situation (one failed or for Two - tailed) Hypothesis testing when 2 sample 2) State Ho & H, proportions 3) Test Statistics of x2: [c.v] ^ Z= P, - P2 x2 = E (0-E)2 E P.q. 1/2 + n, 1/2 n2 where, observed frequency Where, E ^ Expected frequency Po = n, P, +n2 P2 4) Find the T.V using X'table n, + n2 level of significance = 0.05 q. = 1-Po degree of freedom (---) Hypothesis testing for positively 5) Compare T.V & C.V Skewed distribution: T.V > C.V Ho is accepted 1) Chisquare distribution (x2 x2 for testing indepence of two attributes 2) F distribution 3) Annova Test statistics : [c.v] x2 = E [6-E)2] E 1) Chi- square (x2) For Table value : Acceptance level of significance 0.05 region degree of freedom (2-1)(n-1 Rejection region r no. of rows Rejection n Region no. of columns X2. x x2 X2dh