A large firm made up of several companies has instituted a new quality-control inspection policy. Among 30 artisans sampled in Company A, only 5 objected to the new policy. Among 35 artisans sampled in Company B, 10 objected to the policy.
a. Find the point estimate the true difference between the proportions voicing objection to the new policy for the two companies.
b. Find the standard deviation of the point estimator in part a.
c. Compute 95% confidence interval for the true difference between the proportions voicing objection to the new policy for the two companies.
d. Can we conclude that the proportions are not equal? why?
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