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.
(a) State the hypotheses used to answer the question.
(b) Using α = .05, state the decision rule and sketch it.
(c) Find the sample proportions and z statistic.
(d) Make a decision.
(e) Find the p-value and interpret it
(f ) Is the normality assumption fulfilled? Explain.
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
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 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
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