Suppose the Proportion of People Losing Weight at a City $\mathrm { P } _ { \mathrm { C } }$

Suppose the proportion of people losing weight at a city weight loss centre is $\mathrm { P } _ { \mathrm { C } }$ and the proportion of people losing weight at a suburban weight loss centre is $p _ { s }$ .A study found a 98% confidence interval for $\mathrm { P } _ { \mathrm { C } }$ - $p _ { s }$ is (-0.1263,0.0891) .Give an interpretation of this confidence interval.

A) We are 98% confident that the proportion of people losing weight at the city weight loss centre is between 12.63% less and 8.91% more than the proportion of people losing weight at the suburban weight loss centre.
B) We know that 98% of the people at the suburban weight loss centre lost between 12.63% less and 8.91% more than the people at the city weight loss centre.
C) We know that 98% of all random samples done on the population will show that the proportion of people losing weight at the city weight loss centre is between 12.63% less and 8.91% more than the proportion of people losing weight at the suburban weight loss centre.
D) We are 98% confident that the proportion of people losing weight at the suburban weight loss centre is between 12.63% less and 8.91% more than the proportion of people losing weight at the city weight loss centre.
E) We know that 98% of the people at the city weight loss centre lost between 12.63% less and 8.91% more than the people at the suburban weight loss centre.