Question

the basketball team at bakersfield high school recorded their wins and losses of the season. the table given shows the data collected, in which the relationship between wins and losses is sorted by number of points scored.

	≥ 100 points	< 100 points	total
loss	6
total			100

does the data give evidence of an association between scoring at least 100 points during the game and the basketball team winning?
there is a weak, negative association
there is a weak, positive association.
there is a strong, positive association
there is a strong, negative association

Explanation:

Step1: Fill missing table values

First, calculate wins with <100 points: $90 - 48 = 42$.
Calculate losses with ≥100 points: $100 - 90 = 10$, then $10 - 6 = 4$.
Calculate total for ≥100 points: $48 + 4 = 52$.
Completed table:

	≥100 points	<100 points	Total
Loss	4	6	10
Total	52	48	100

Step2: Calculate win rates for each group

Win rate for ≥100 points: $\frac{48}{52} \approx 0.923$
Win rate for <100 points: $\frac{42}{48} = 0.875$

Step3: Analyze association strength

The win rate is much higher when scoring ≥100 points, and the difference is large, indicating a strong positive link between scoring ≥100 points and winning.

Answer:

There is a strong, positive association.