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Q1: At the University of California, a sample of 200 undergraduate students shows that 75 live away from home, and a sample of 150 graduate students shows that 93 live away from home. Is the proportion of undergraduate students who live away from home is less than the proportion of graduate students who live away from home? a) State your null and alternative hypotheses b) Calculate the value of the test statistic c) Calculate the p-value for the test statistic in b) d) Set up the rejection region for the test using a 1% significance level e) Use the critical value approach or p-value to draw a conclusion at the 1% significance level.

          Q1: At the University of California, a sample
of 200 undergraduate students shows that 75 live away from home,
and a sample of 150 graduate students shows that 93 live away from
home. Is the proportion of undergraduate students who live away
from home is less than the proportion of graduate students who live
away from home?
a) State your null and alternative hypotheses  
b) Calculate the value of the test statistic 
c) Calculate the p-value for the test
statistic in b)
d) Set up the rejection region for the test using a 1%
significance level
e) Use the critical value approach or
p-value to draw a conclusion at the 1% significance
level.

Added by Teresa V.

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