Explore BrainMass

# Test of Hypothesis for difference in proportions

Not what you're looking for? Search our solutions OR ask your own Custom question.

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

A random sample of 200 workers from Factory A showed that 130 were satisfied with their job. Another random sample of 125 workers from Factory B showed that 70 were satisfied with their job. Can it be concluded that the proportion of satisfied workers in Factory A is greater than in Factory B?
Formulate and test the appropriate hypotheses at the 1% level of significance

https://brainmass.com/statistics/hypothesis-testing/16450

#### Solution Preview

Null Hypothesis: H0: p1=p2
There is no difference between the proportion of satisfied workers of the two factories
Alternative Hypothesis: H1: p > p2
Proportion of satisfied workers in Factory A is greater than in Factory B

p=proportion satisfied with their jobs
n=sample size

Factory A
n1= 200
p1= 65% =130/200
q1=1-p1= 35%

Factory B
n2= 125
p2= 56% =70/125
q2=1-p2= 44%

difference= 9% =65%-56%

Best estimate of the overall proportion of success ...

#### Solution Summary

The solution formulates and tests the hypothesis that the proportion of satisfied workers in Factory A is greater than in Factory B.

\$2.49