The table below shows annual financial data for a sample of $20$ companies in the food consumer products sector. At $\backslash$alpha $=\mathrm{.}01,$ is there a significant correlation between revenue and profit?

Food Consumer Products Companies' Revenue and Profit $($$ millions$)$

Obs Company Revenue Profit

$1$ Campbell Soup $7,109647$

$2$ ConAgra Foods $18,179880$

$3$ Dean Foods $10,822285$

$4$ Del Monte Foods $3,214165$

$5$ Dole Food $5,316134$

$6$ Flowers Foods $1,55151$

$7$ General Mills $11,0701,055$

$8$ H$.$ J$.$ Heinz $8,415804$

$9$ Hershey Foods $4,429591$

$10$ Hormel Foods $4,780232$

$11$ Interstate Bakeries $3,46826$

$12$ J$.$ M$.$ Schmucker $1,417111$

$13$ Kellogg $9,614891$

$14$ Land O'Lakes $7,74221$

$15$ McCormick $2,526215$

$16$ Pepsico $29,2614,212$

$17$ Ralcorp Holdings $1,55865$

$18$ Sara Lee $19,5561,272$

$19$ Smithfield Foods $10,107227$

$20$ Wm$.$ Wrigley, Jr$.3,649493$

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$($a$)$ Calculate Spearman's rank correlation coefficient. $($Calculate the coefficient using the method shown in the text. If you use MegaStat, do NOT correct for ties. Round your answer to $4$ decimal places.$)$

$($b$)$ There is a significant rank correlation between revenue and profit.

multiple choice

Yes Correct

No