Question

crumbs cookies was interested in seeing if there was an association between cookie flavor and whether or not there was frosting. given are the results of the last weeks orders.
which category has the greatest joint frequency?

	sugar cookie	chocolate chip	red velvet	total
no frosting		70	50
total		136		400

options: sugar cookies, cookies with no frosting, chocolate chip cookies with frosting, sugar cookies with no frosting

Explanation:

Step1: Calculate missing joint frequencies

First, find Chocolate Chip no frosting: $136 - 70 = 66$
Find Sugar Cookie totals: Total cookies = 400, so Sugar Cookie total = $400 - 136 - 50 = 214$
Sugar Cookie no frosting: $214 - 56 = 158$
Red Velvet frosting: Total frosting = 180, so $180 - 56 - 70 = 54$
Total no frosting: $400 - 180 = 220$ (verify: $158 + 66 + 50 = 220$)

Step2: List all joint frequencies

• Sugar Cookie Frosting: 56
• Chocolate Chip Frosting: 70
• Red Velvet Frosting: 54
• Sugar Cookie No Frosting: 158
• Chocolate Chip No Frosting: 66
• Red Velvet No Frosting: 50

Step3: Compare all joint frequencies

$158 > 70 > 66 > 56 > 54 > 50$

Answer:

Sugar cookies with no frosting