SOLUTION: In a random sample of 110 residents of Centerville, 11 held post-graduate degrees. In a random sample of 150 residents of Statsburgh, 33 held post-graduate degrees. A hypothesis te

Question 1188148: In a random sample of 110 residents of Centerville, 11 held post-graduate degrees. In a random sample of 150 residents of Statsburgh, 33 held post-graduate degrees. A hypothesis test is conducted to determine whether the proportion of all Centerville residents who hold post-graduate degrees is less than the proportion of all Statsburgh residents who hold post-graduate degrees.
Find the value of the test statistic for this hypothesis test.
Answer: The test statistic is z=
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
pC=0.1
pS=0.22
pC combined is 44/250=0.19=0.1692
test stat is z=(pC-pS)/sqrt (pc(1/n1)+(1/n2))
=-0.12/sqrt (0.1692)((1/110)+(1/150))=-2.55

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