Question

Homework > Homework 7.1 Given p = 0.4 and N = 35 for the high income group, Test the claim that the proportion of children in the high income group that drew the nickel too large is smaller than 50%. Test at the 0.1 significance level. a) Identify the correct alternative hypothesis: ON > .50 Op<.50 Op > 50 Op.50 Op<.50 OM.50 Give all answers correct to 3 decimal places. b) The test statistic value is: c) Using the P-value method, the P-value is: d) Based on this, we O Reject H Fail to reject H e) Which means There is not sufficient evidence to support the claim There is sufficient evidence to warrant rejection of the claim There is not sufficient evidence to warrant rejection of the claim MacBook Pro 9.0 BBB 38 :: W # $ 4 1 2 5 6 7 Q W E R T Y tab А S D וד G H caps lock N х C V B ift

Answer 1

Sol> Griven data, Ộ - = 0.4 N = 35 d=0.10 (a) > The proportion of children in the high income group that drew the nickel too large is smaller than 50% . . p=50% = 0.50 P<0.50 (one failed test) (option (I) is correct) 6)> tet statistic (3), ² -P Z = p*(1-P) n 0.4 -0.50 - 0.50 *0.50 35 -0-1 0.085 Z FE1.176 (c) P-value = (Q=0.10,7 =-1.176) P-value = 10.119 p-value is greater than signifie cance level (K) 0.119 > 0.10

d) Fail to reject Ho (option (I) is carorect) (e) There is not sufficient evidence to warrant rejection of the claim.