A Marketing Survey Involves Product Recognition in Ontario and British $\mathrm { P } 1$

Multiple Choice

A marketing survey involves product recognition in Ontario and British Columbia.Suppose the proportion of Ontario residents who recognized a product is $\mathrm { P } 1$ and the proportion of British Columbia residents who recognized the product is $\mathrm { P } 2$ .The survey found a 98% confidence interval for $p _ { 1 } - p _ { 2 }$ is $( - 0.023 , - 0.019 )$ Give an interpretation of this confidence interval.

A) We know that 98% of British Columbia residents recognized the product between 1.9% and 2.3% more often than Ontario residents.
B) We know that 98% of Ontario residents recognized the product between 1.9% and 2.3% more often than British Columbia residents.
C) We are 98% confident that the proportion of British Columbia residents who recognized the product is between 1.9% and 2.3% higher than the proportion of Ontario residents who recognized the product.
D) We know that 98% of all random samples done on the population will show that the proportion of British Columbia residents who knew the product is between 1.9% and 2.3% higher than the proportion of Ontario residents who knew the product.
E) We are 98% confident that the proportion of Ontario residents who recognized the product is between 1.9% and 2.3% higher than the proportion of British Columbia residents who recognized the product.