{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

C10 questions

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

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

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.

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

View Full Document
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

{[ snackBarMessage ]}