Question

Provide an appropriate response. The contingency table below shows the results of a random sample of 200 state representatives that was conducted to see whether their opinions on a bill are related to their party affiliation. Opinion Party Approve Disapprove No Opinion Republican 42 20 14 Democrat 50 24 18 Independent 10 16 6 Find the chi-square test statistic, x2, to test the claim of independence. Test for Independence-Contingency tables 11.765 7.662 8.030 9.483

Answer 1

chi-square bor independence of Attributesi eiven table: opinion Approve Disapprove. No option. party 42 20 14 Repula De moe904 24 16 6 independent procedure: Let Ai denote the attribute opinion. B! party, 1 HE A & B are independent. not independent, H,: AS B are test statistic: x² = رام ) Komix no (m-1 ani 1-1) Eig calculation, Table: A observed brea, (is) A AI Az As Total B, 42 20 14 76 B B2 3 24 18. 92 16 6 32 B2, Total! 102 60 38 200.

Ejj = Row totaal Row to feel x column total (A;) (B3) N N Table 2 Computation for enpected brequency (5:8) A NB. 102x16 =38.76 A Az Total 60x76 = 22.8. 38-369 22.8 14.44 46 Az 200 Bi es 200 B₂ 46.92 27.6 17.48 92 = 14.44 38x76 200 B 32 16.32 9.6 102 6 6.68 38 To tal 200 Table 3. Computation bor xor-values, Sot - (013 - Eis) Eis А AI Az Az B Total (42-38-76)" 0.27) B, 0.271 0.344 0.013 0.628 B₂ 38.76 20-22.8) 228 0.902 0.47 0.015/0.687 E 0.344 B. 3 4.267 2.447 Ooool 6.75 2.92 15.081 10.029 8:03 Total the chi-square test-statistie x² = 8.030.
if you have any doubt you can ask me. Check out the calculations plz