C10 questions - 10.106 Step 1 a The ratio of the variances...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
10.82: Step 1: a. The difference in the proportion of men and women responding “yes” to a survey question, p M - p W b. H 0 : p M p W = 0 H a : p M p W ≠ 0 Step 2: a. N’s > 20, np’s and nq’s all > 5 b. Z test statistic will be used c. α=0.05 Step 3: a. n M = 200, p’ M = 0.29 n W = 200, p’ W = 0.24 p’ p = (x M + x W )/(n M + n W ) = (58 + 48)/(200 + 200) = 0.265 q’ p = 1 - p’ p = 1.000 0.265 = 0.735 b. z = [(p’ M - p’ W ) (p M p W )]/ z* = (0.29 0.24)/ = 0.05/0.0441 = 1.13 Step 4: --------using p-value ---------------------------- a. P = 2P(z* > 1.13); From the table 3, P = 2(0.5000 0.3708) 2(0.1292) = 0.2584 From table 5, 2(0.1251 < ½ P < 0.1357); 0.2502 < P < 0.2714 b. P > α -----------using classical approach--------------- a. Critical region: z < - 1.96 and z > 1.96 b. Z* falls in the noncritical region Step 5: a. Fail to reject H 0 b. There is not sufficient evidence to show a difference, at the 0.05 level.
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 10.106 Step 1: a. The ratio of the variances for two corn yield rates b. H : H a : Step 2: a. Normality indicated, independence exists b. F test statistic will be utilized c. α=0.05 Step 3: a. n WI = 11, s WI = 0.680, n MN = 12, s MN = 0.2917 b. F* = / = 0.680 2 /0.2917 2 = 5.43 Step 4: -------using p-value ---------------------------------------- P = 2P(F > 5.43|df = 10, 11) If you use table 9, P < 2(0.01); P < 0.02 If you use a computer: P = 0.010 P < α------------using classical approach---------------------- a. F(10, 11, 0.025) = 3.53 b. F* falls in the critical region (you ’ d would have to sketch this to see it) Step 5: a. Reject H b. At the 0.05 level of significance, there is sufficient evidence to conclude that a difference in variances exist for the two corn yield rates....
View Full Document

This note was uploaded on 04/17/2008 for the course MAT 115 taught by Professor Monroe during the Spring '08 term at Ivy Tech Community College.

Page1 / 2

C10 questions - 10.106 Step 1 a The ratio of the variances...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online