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mynewfamily mynewfamily
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9 years ago
Two teams of workers assemble automobile engines at a manufacturing plant in Michigan. A random sample of 145 assemblies from team 1 shows 15 unacceptable assemblies. A similar random sample of 125 assemblies from team 2 shows 8 unacceptable assemblies.

Is there sufficient evidence to conclude, at the 10% significance level, that the two teams differ with respect to their proportions of unacceptable assemblies?
 A.No, since the test value exceeds the critical value 
 B.No, since the test value does not exceed the critical value 
 C.Yes, since the p-value is greater than 0.10 
 D.No, since the p-value is less than 0.10
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wrote...
9 years ago
The P-value = 0.2469
wrote...
Educator
8 years ago
See if this helps.
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wrote...
8 years ago
n1=145 x1=15 p1=15/145 = 0.10345

n2=125 x2=8 p2=8/125 = 0.064

alpha,a=0.10

p = (p1n1 + p2n2) / (n1 + n2) = 0.0852

SE = sqrt{p*(1-p) * [(1/n1) + (1/n2)]} = 0.03407

z = (p1-p2)/SE = 1.1578

critival value = Za/2 = Z0.05 = 1.645

since z<1.645 hence we do not reject H0

so there is NO sufficient evidence to conclude, at the 10% significance level, that the two teams differ with respect to their proportions of unacceptable assemblies
wrote...
8 years ago
Enjoy the solution.
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wrote...
3 years ago
See if this helps.
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