In the book Essentials of Marketing Research, William R$.$ Dillon, Thomas J$.$ Madden,

and Neil A$.$ Firtle discuss the relationship between delivery time and computer$-$assisted

ordering. A sample of $40$ firms shows that $16$ use computer$-$assisted ordering, while $24$

do not. Furthermore, past data are used to categorize each firm$$s delivery times as

below the industry average, equal to the industry average, or above the industry average.

The results obtained are given in the Table below:

A contingency Table Relating Delivery Time and Computer$-$Assisted Ordering.

Delivery Time

ComputerAssisted

ordering

Below

Industry

Average

Equal to

Industry

Average

Above

Industry

Average

Row Total

No $412824$

Yes $104216$

Column Total $14161040$

a$.$ Test the hypothesis that delivery time performance is independent of whether or not

computer assisted ordering is used at $0\mathrm{.}05$ alpha level.

b$.$ Provide an interpretation of these findings