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 &gt; 34000 ! = .05 Minitab Output: One-Sample T: Income1 Test of mu = 34000 vs &gt; 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 &gt; .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 : ! &quot; ! 0 Upper-tail test H0 : ! &quot; ! 0 H1 : ! &quot; ! 0 H1 : ! &lt; ! 0 H1 : ! &gt; ! 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 &amp; µ p = ! = !0, &quot; p = = ) ˆ &amp;ˆ ) n n n % ( Z= ˆ p!&quot; = #p ˆ ˆ p ! &quot;0 &quot; 0 (1 ! &quot; 0 ) n ~ N (0,1) if n! &gt; 5 and n(1 &quot; ! ) &gt; 5 standardized test statistic Data: xobs or ˆ pobs = xobs n or zobs = ˆ pobs ! &quot; 0 &quot; 0 (1 ! &quot; 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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