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 totalwin 50 90loss 6total 100does the data give evidence of an association between scoring at least 100 points during the game and the basketball team winning?there is a strong, positive associationthere is a strong, negative associationthere is a weak, positive associationthere is a weak, negative association

Explanation:

Step1: Fill win <100 points

$90 - 50 = 40$

Step2: Calculate total losses

$100 - 90 = 10$

Step3: Fill loss <100 points

$10 - 6 = 4$

Step4: Calculate total ≥100 points

$50 + 6 = 56$

Step5: Calculate total <100 points

$40 + 4 = 44$

Step6: Find win rates for each group

Win rate for ≥100 points: $\frac{50}{56} \approx 0.893$
Win rate for <100 points: $\frac{40}{44} \approx 0.909$

Step7: Compare win rates

The win rates are very close; the difference is small and positive.

Answer:

There is a weak, positive association.