17
QuizMultiple Choice

Statistical Inferences

Question 17 • Common Core Algebra II - MA3111 B-IC

A random sample shows that 48% of students prefer learning programming through games, with a margin of error of ±4% at 95% confidence.

Answer
A
Exactly 48% of all students prefer game-based learning.
B
Between 44% and 52% of all students prefer game-based learning.
C
95% of students prefer game-based learning.
D
At least 52% of students prefer game-based learning.

Explanation

A 4% margin of error around the sample estimate of 48% gives an interval from 48% − 4% = 44% to 48% + 4% = 52%. Thus, the result estimates that between 44% and 52% of all students prefer game-based learning; it does not mean exactly 48% do or that 95% of students prefer it.

AI-written and checked against the verified answer.

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