SOLUTION: It is known that 40% of adult possess education paper qualifications but among a random sample of 200 textile workers only 59 do so. Have we reason to believe that the proportion i

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Question 1183122: It is known that 40% of adult possess education paper qualifications but among a random sample of 200 textile workers only 59 do so. Have we reason to believe that the proportion in this occupational group is less than that of adults as a whole? To test this hypothesis the p value is equal to
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
1-sample proportion test with
Ho:p >=0.40
Ha: p < 0.40
z=(p hat-p)/sqrt(p*(1-p)/n)
=(0.295-0.40/sqrt(.4*.6/200)
=-0.105/0.0346
=-3.03
p-value for a one way test is 0.0012 (left side of a curve with area from -oo to -3.03
would reject typical Ho with common critical values.

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