Question 260300
Do a larger proportion of college students than young children eat cereal? Researchers surveyed both age groups to find the answer. 
The results are shown in the table below. 
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(a) State the hypotheses used to answer the question.
Ho: p(college)-p(children) = 0
Ha: p(coll)-p(chil) > 0
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(b) Using alpha = .05, state the decision rule and sketch it.
Reject Ho if z > 1.645
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(c) Find the sample proportions and z statistic.
Phat(col) = 0.98 ; phat(chil) = -.935
test stat = z = 4.5065
p-value = p(z> 4.5065) = 0.000003298...
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(d) Make a decision.
Since the p-value is so small, reject Ho; the proportions are not equal.
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(e) Find the p-value and interpret it
(f) Is the normality assumption fulfilled? Explain.
I'll leave that to you.
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Cheers,
Stan H.

Statistic	                  College Students            Young Children
                                   (ages 18-25)                 (ages 6-11)
Number who eat cereal	                 x1=833	                  x2=692
Number surveyed	                         n1=850	                  n2=740