06 Hypothesis Examples

Use a 5 level of significance hypotheses h 0 34000 h1

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Unformatted text preview: the population of all households is higher than $34,000? Use a 5% level of significance. Hypotheses: H 0 : µ ! 34000 H1 : µ > 34000 ! = .05 Minitab Output: One-Sample T: Income1 Test of mu = 34000 vs > 34000 Variable Income1 N 100 Mean 35313 StDev 8717 SE Mean 872 95% Lower Bound 33866 T 1.51 P 0.068 Decision: Fail to reject H 0 since p-value = .068 > .05 = ! . There is insufficient evidence to conclude that H 0 is false. We cannot say whether the population average is higher than $34,000. 2 Hypothesis Tests and Confidence Intervals for a Population Proportion Hypotheses: Two-sided test H0 : ! = ! 0 Lower-tail test H0 : ! " ! 0 Upper-tail test H0 : ! " ! 0 H1 : ! " ! 0 H1 : ! < ! 0 H1 : ! > ! 0 Test Statistics and Distributions under H 0 : X = number of successes in sample ~ Binomial ( n, ! = ! 0 ) ˆ p= $ ! 0 (1 # ! 0 ) ' X ! (1 # ! ) ~ N & µ p = ! = !0, " p = = ) ˆ &ˆ ) n n n % ( Z= ˆ p!" = #p ˆ ˆ p ! "0 " 0 (1 ! " 0 ) n ~ N (0,1) if n! > 5 and n(1 " ! ) > 5 standardized test statistic Data: xobs or ˆ pobs = xobs n or zobs = ˆ pobs ! " 0 " 0 (1 ! " 0 ) n...
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This note was uploaded on 02/11/2013 for the course STAT 509 taught by Professor Grey during the Spring '13 term at Alabama.

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