Question

1. Show how the expected value is calculated for the top left cell, that is for Generation Z who said "yes"

X II. Minitab - Minitab math 2209 assgn 2.mpx File Edit Data Calc Stat Graph View Help Assistant H LATE ? I Navigator Chi-Square Test for Associa... Chi-Square Test for Association: ... WORKSHEET 1 Recode Chi-Square Test for Association: GENERATION, Knowledge Yes No All GEN Z 118 40 26.52 6.8474 78 91.48 1.9854 MILLENNIAL 252 65 187 56.64 195.36 1.2329 0.3575 GEN X 280 56 224 62.94 217.06 0.7646 0.2217 BOOMER 351 64 287 78.90 272.10 2.8125 0.8155 All 225 776 1001 Cell Contents Count Expected count Contribution to Chi-square Chi-Square Test Chi-Square DF P-value Pearson 15.037 3 0.002 Likelihood Ratio 14.368 3 0.002 Worksheet 1 100% Type here to search Ö e H @ @ ill х ENG US 19:47 30/07/2020

b. Show how the contribution to the test statistic is calculated for the top left, cell that is for Generation Z who said "Yes"

c, show how the degrees of freedom are calculated

d, give your brief conclusion based on the strength of the evidence

Answer 1

& expected value = Column total x row total Grond total E 225 X 118 100) - 26.52347652 a 26.52 V (6 Contribution to test statistics = = ( Observed Value - Expected valhe) Expected value C 40 26.52) 26.52 こ 6.847393661 6.8474 v ② degres of freedom = (number of rows - 1 x - (4-1) X (2-1) 3X1 3 v @ Hea test statistics X? 15.037 p-value= 0.002 20.05 x=0.05 & kle Reject Ho at Conclusion then is significant association between (ie not independent).