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18. On a syndicated television show the two hosts often create the impression that they strongly disagree about which movies are best. Each movie review
18. On a syndicated television show the two hosts often create the impression that they strongly disagree about which movies are best. Each movie review is categorized as Pro ("thumbs up"), Con ("thumbs down"), or Mixed. The results of 160 movie ratings by the two hosts are shown here. Host B Host A Con Mixed Pro Con Mixed Pro Use a test of independence with a .01 level of significance to analyze the data. What is your conclusion?Ho : Host A and Host B's reviews are independent. Ha : Host A and Hast B's reviews are not independent . Observed Value (D;) Host B Host A Con Mixed Pro Total Con 24 8 13 45 Mixed 8 13 11 32 Pro 10 9 64 33 Total 42 30 88 160 Expected Value (Fi ) Expected Value = Row Total X Column Total grand Total Host B Host A Con Mixed Pro Con 11.8125 8.4375 24.75 Mixed 8.4 6 17.6 Pro 21.7875 15.5625 45.65 ( Di - Ei ) / Ei Table : - Host B Host A Con Mixed Pro Con 12.5744 0.0227 5.5783 Mixed 0.019 8.1667 2.475 Pro 6.3773 2.7673 7.3762Ho : Host A and Host B's reviews are independent. Ha : Host A and Hast B's reviews are not independent . Observed Value (D;) Host B Host A Con Mixed Pro Total Con 24 8 13 45 Mixed 8 13 11 32 Pro 10 9 64 33 Total 42 30 88 160 Expected Value (Fi ) Expected Value = Row Total X Column Total grand Total Host B Host A Con Mixed Pro Con 11.8125 8.4375 24.75 Mixed 8.4 6 17.6 Pro 21.7875 15.5625 45.65 ( Di - Ei ) / Ei Table : - Host B Host A Con Mixed Pro Con 12.5744 0.0227 5.5783 Mixed 0.019 8.1667 2.475 Pro 6.3773 2.7673 7.3762test-statistics, x2 2 8 (07 -Ei) 2 2 45- 3569 degree of freedom 2 if = (no. of now -1) (m. of column -1) = (3-1) (3-1) = 141 Bar df= 4, X" = 45. 3569, p-value is obtained as, p-value = 0- 00 0 0 0 0 0 03 As , p-value = 0.0
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