Question

tanner asked 50 students whether they prefer spring or fall. this table shows the results.
spring fall total
boys 11 17 28
girls 16 6 22
total 27 23 50
based on the data in the table, which of the following statements are true? select all that apply.
boys are more likely to prefer spring than to prefer fall.
students are more likely to prefer spring than to prefer fall.
girls are more likely than boys to prefer fall.
boys are less likely than girls to prefer spring.
boys are equally as likely as girls to prefer spring.

Explanation:

1. For "Boys are more likely to prefer spring than to prefer fall": Boys who prefer spring = 11, fall = 17. 11 < 17, so false. But the original checkmark is wrong. Correctly, this is false.
2. "Students are more likely to prefer spring than to prefer fall": Total spring = 27, fall = 23. 27 > 23, so true.
3. "Girls are more likely than boys to prefer fall": Girls who prefer fall = 6, boys = 17. 6 < 17, so false. Original checkmark is wrong.
4. "Boys are less likely than girls to prefer spring": Boys' spring probability = 11/28 ≈ 0.39, girls' = 16/22 ≈ 0.73. 0.39 < 0.73, so true.
5. "Boys are equally as likely as girls to prefer spring": As above, probabilities differ, so false.

True statements: "Students are more likely to prefer spring than to prefer fall", "Boys are less likely than girls to prefer spring".

Answer:

• Students are more likely to prefer spring than to prefer fall.
• Boys are less likely than girls to prefer spring.