A marketing survey involves product recognition in Ontario and British Columbia.Suppose the proportion of Ontario residents who recognized a product is
And the proportion of British Columbia residents who recognized the product is
.The survey found a 98% confidence interval for
-
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.

Question

A marketing survey involves product recognition in Ontario and British Columbia.Suppose the proportion of Ontario residents who recognized a product is 
And the proportion of British Columbia residents who recognized the product is 
.The survey found a 98% confidence interval for 
- 
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.

Quizplus · Accepted Answer

The confidence interval given tells us that there is a range of values in which we are 98% confident that the proportion of British Columbia residents who recognized the product is higher than the proportion of Ontario residents who recognized the product. Specifically, the range is between 1.9% and 2.3% higher. So, we can choose option C as the best choice.

A Marketing Survey Involves Product Recognition in Ontario and British