Unformatted text preview: 1 HYPOTHESIS TEST: RIGHT-TAILED
Significance Level A 0.05 0.025 0.01 0.005 Critical Value 1.645 1.96 2.33 2.575 • s unknown and n 7 30: use t If none of the above apply, use nonparametric method or bootstrapping. C n1 + s2 2 n2 C n1
where p = x1 + x2 n1 + n2 + df = smaller of n1 - 1 and n2 - 1. Alternative Cases for Two Independent Means: s2 s2 1 2 Known s1 and s2: E = za>2 + C n1 n2 If s1, s2 unknown but assumed equal, use pooled variance s2 : p 2 2 sp sp E = ta>2 C n1 + n2 where s2 = p 1n1 - 12s2 + 1n2 - 12s2 1 2 1n1 - 12 + 1n2 - 12 Wording of Conclusion
Does original claim include equality? Yes Fail to reject H0 “There is not sufficient evidence to warrant rejection of the claim that … [original claim].” No “There is not sufficient evidence to support the claim that … [original claim].” and q = 1 - p N and p1 = x1 x2 N and p2 = n1 n2 HYPOTHESIS TEST: LEFT-TAILED
Significance Level A 0.05 0.025 0.01 0.005 Critical Value 1.645 1.96 2.33 2.575 s = 2 g 3x # P1x24 - m 2 Expected value: E = g x # P1x2 Binomial Distribution: Requires fixed number of independent tri...
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