Question

2. Romy’s basketball coach wants to encourage her players to practice more.
Part A
Complete the two-way frequency table with the following information:
• Of the 5 starting players,
4 spend extra time practicing
• Two of the five 2nd-string
players practice extra time
• Two of the eight 3rd-string
players practice extra
Part B
Complete the total relative
frequency table. Round to the
nearest percent.
Part C
What does the total relative
frequency table tell you about
the players who practice the
most?
Part D
Is there an association between extra practice time and being a starting
player? Explain.
Players
Extra Practice Time
Yes No Total
Starting
2nd String
3rd String
Total
Players
Extra Practice Time
Yes No Total
Starting
2nd String
3rd String
Total2 of 2

Answer 1

Part A — Frequency table

Players / Extra Practice Time | Yes | No | Total
- Starting .................. | 4 | 1 | 5
- 2nd String ................ | 2 | 3 | 5
- 3rd String ................ | 2 | 6 | 8
- Total ..................... | 8 | 10 | 18

Part B — Total relative frequency table (percent of all 18 players, rounded)

Players / Extra Practice Time | Yes | No | Total
- Starting .................. | 22% (4/18) | 6% (1/18) | 28% (5/18)
- 2nd String ................ | 11% (2/18) | 17% (3/18) | 28% (5/18)
- 3rd String ................ | 11% (2/18) | 33% (6/18) | 44% (8/18)
- Total ..................... | 44% (8/18) | 56% (10/18) | 100%

Part C — What the total relative frequency table tells you
- Starting players make up the largest share of the players who practice extra: 22% of all players are starters who practice, while 11% are 2nd-string who practice and 11% are 3rd-string who practice.
- Overall, 44% of the team practices extra and 56% do not.

Part D — Is there an association?
Yes. A much higher proportion of starters practice extra (4 of 5 = 80%) than 2nd-string (2 of 5 = 40%) or 3rd-string (2 of 8 = 25%). Also, among the players who practice, 50% are starters (4 of 8), while among those who do not practice only 10% are starters (1 of 10). These differences indicate an association between being a starter and spending extra time practicing.