Question 550174
Of 250 adults who tried a new product,187 rated it excellent. of 100 children sampeld, 66 rated it excellent. test the hypothesis that the two population proportions are equal using 0.01 level.
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p1-hat = 187/250 = 0.75
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p2-hat = 66/100 = 0.67
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Ho: p1-p2 = 0 (claim)
Ha: pa-p2 # 0
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sample proportion: p1-p2 = 0.75-0.67 = 0.08
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test stat: z(0.08) = 0.08/sqrt[(0.75*0.25/250)+(0.67*0.33/100)] = 1.4702
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p-value = 2*P(z >1.4702) = 0.1416
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conclusion: Since the p-value is greater than 1%, fail
to reject Ho.
The test results support the claim.
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Cheers,
Stan H.