Question

a survey of 90 toronto sports fans is summarized in the data table below:

	attended a blue jays game	did not attend a blue jays game
did not attend a raptors game	?	30

which statement is incorrect based on the data?

• $\frac{1}{3}$ of the toronto fans did not attend a raptors or blue jays game.
• 50% of the fans attended a blue jays game, but not a raptors game.
• more fans attended a blue jays game than attended a raptors game.

Explanation:

Step1: Find missing table value

Total fans = 90. Sum of known values: $15 + 20 + 30 = 65$. Missing value: $90 - 65 = 25$

Step2: Verify first statement

Fans who attended neither: 30. Fraction: $\frac{30}{90} = \frac{1}{3}$. Statement is correct.

Step3: Verify second statement

Fans who attended Blue Jays only: 25. Percentage: $\frac{25}{90} \times 100\% \approx 27.8\%
eq 50\%$. Statement is incorrect.

Step4: Verify third statement

Total Blue Jays attendees: $15 + 25 = 40$. Total Raptors attendees: $15 + 20 = 35$. $40 > 35$, so statement is correct.

Answer:

B. 50% of the fans attended a Blue Jays game, but not a Raptors game.