One consumer protection agency wanted to check whether the proportions of luggage lost between two airline companies differ or not. A sample of 600 luggage from airline company
P
showed that 12 are lost. Another sample of 700 luggage from airline company
Q
showed that 13 luggage are lost. (a) What is the point estimate of the difference between the two population proportions? (b) Construct a
94%
confidence interval for the differences in the proportions of all luggage between airline companies
P
and
Q
. (c) Testing at
3%
significance level, can you conclude that the proportions of all luggage lost between airline companies
P
and
Q
are different?