Chi-Square Distributions. Recap. Analyze data and test hypothesis Type of test depends on: Data available Question we need to answer What do we use to examine patterns between categorical variables? Gender Location Preferences. t-distribution. df = 4. df = 100. F-distribution.
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df = 4
df = 100
df = 2
df = 4
df = 10
H0: Plevel1, pop 1 = Plevel1, pop 2 =… = Plevel1. pop r
H0; Plevel2, pop 1 = Plevel2, pop 2 - … = Plevel2, pop r
H0: Plevelc, pop 1 = Plevelc, pop 2=…=Plevelc, pop r
H0: Pboys who like Family Guy = Pgirls who like Family Guy
H0: Pboys who like South Park = Pgirls who like South Park
H0: Pboys who like The Simpsons = Pgirls who like The Simpsons
Compute the expected frequency counts
Er,c = (nr * nc) / nE1,1 = (100 * 100) / 300 = 10000/300 = 33.3E1,2 = (100 * 110) / 300 = 11000/300 = 36.7E1,3 = (100 * 90) / 300 = 9000/300 = 30.0E2,1 = (200 * 100) / 300 = 20000/300 = 66.7E2,2 = (200 * 110) / 300 = 22000/300 = 73.3E2,3 = (200 * 90) / 300 = 18000/300 = 60.0
P(Χ2> 19.91) = 1.0000