Question

Homework > Homework 6.2 To begin answering our original question, test the claim that the proportion of children from the low income group that drew the nickel too large is greater than the proportion of the high income group that drew the nickel too large. Test at the 0.1 significance level. Recall 17 of 40 children in the low income group drew the nickel too large, and 12 of 35 did in the high income group a) If we use to denote the low income group and H to denote the high income group, identify the correct alternative hypothesis. Ο Η :μι < μΗ OH:PLPH OH : PL + PH OHAL OHI:PAL > 4H OHPL > PH b) The test statistic value is: c) Using the P-value method, the P-value is: d) Based on this, we Reject H O Fail to reject H e) Which means There is not sufficient evidence to warrant rejection of the claim The sample data supports the claim MacBook Pro esc 0 RO F3 DOO OOO FA F2 # S % N 1 2 3 4 5 6 1 TAL D. T

Answer 1

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Here while calculating p-value for z-score probability calculate from standard normal distribution table.

enlivo Solution given that claim The proportion of children from the low income group that drew the nickel too longe is greater thon the podporolon of the higle Income g soub that drewd the nickel too Jorge Kalevel of significance = 0.10 for low income group of children n = 40 1. Ô = sample proportion = 0.425 ni for high income group of chidren P2 sample pro por Hon 12= 35 12 =12 0343 35 9) if we use i to denote low income group and 't to denote the ligle income group, then Alternative hypothesis is, Hy : PLZ PH. b) Test statistic under nall hypothesis Cho: P = P4 Pi-P2 LECI-E ( 1 ) where P = pooled proportion x tx2 nithe 17+12 40+35 11 25 IS = 0.333 0.425 - 0-343 10.933) (0.6677 + 35