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

question 4

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.

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Definitions:

Iris

The colored part of the eye surrounding the pupil, responsible for controlling the diameter and size of the pupil.

Fluid Accumulation

Fluid accumulation refers to the buildup of fluid in body tissues or cavities, often leading to swelling and discomfort; this can occur due to various medical conditions.

Cornea

The transparent front part of the eye that covers the iris, pupil, and anterior chamber, providing most of the eye's optical power.

Scattering of Light Rays

The process by which light rays are deflected in various directions by particles in their path, affecting how light is perceived.