Question

A survey of 2553 people were placed in categorias ordered in terms of degree of liberalism or conservation. The observations had a man of 5.01, and a standard deviation of 1.92. Staristical analysis greatest statistic of 0.26, and a P-value testing Ho -5.00 against 500 of 0.7940. Suppose that the sample mean and sample standard deviation were from a sample size of only 30, wher than 2563 a. Find the best statistic Pound to the nearest hundredth as needed) b. Find the value for testing Ho *5.00 against H, 5.00. Interpret. Choose the best wrower. If you use a tabia, choose the answer closest to the table value OA -0.976 OB 0.970 OC 0.480 OD 0.010 What does this Pue mean? OA Because the P-value is not a very small number, Hy is plausible OB. because the value is a very wall number, not plausible oc. Because the value is a very small number. He is plausible OD. Because the P value is not a very small number. Hy is not plausible e. Find a confidence interval for Co se acending order. Round to three decimal places as needed) d. Together with the original results, explain what this illustrates about the effect of sample sire on the wire of the P value the width of the confidence interval m What does this strate about the effect of the sample size on the size of the P-value?

Answer 1

solution; five data Meau (x)=5.01 SD ($) 1.92 Sample 0. 70 Ho: M-5.00 null Ha: M45.00 A Hernative care find tęt statistic. X-Y 0.01 test statistic 5.01-5.00 1.92130 مراد 0.3505 ta 0.0285 (b) we find 'p' value t p value = Score and df (0.0285, 29) 0.9761 Р option "B". small number, ta is not plausible. & Because p value is not a very option A o we and 95% Interval confidence 951. Q for te. 2.045] 95'1. Che Xite (clon) 1-92-) • 5.017 2.045 430 5.0lt 0.7169 (4.293. < Me 6. 727 95%. 9. CD

D,) As the sample siste decreases, the p value fncreases. 2 Option су (i) He the sample increses, the width of the confidence Interval option "A decrease