The two-way frequency table below shows data on playing a musical instrument and playing sports for the students in Jorge's class.
\begin{tabular}{lccc}
& Play sports & Do not play sports & Total \
\hline Play a musical instrument & 6 & 7 & 13 \
Do not play a musical instrument & 8 & 3 & 11 \
Total & 14 & 10 & 24
\end{tabular}

Which of the following statements about Jorge's class is true?
Choose 1 answer:
(A) Students who do not play sports are more likely to play a musical instrument than students who do play sports.
(B) The fewest students play both a sport and a musical instrument.
(C) Students who play musical instruments are more likely to play sports than to not play sports.
(D) More students do not play sports than play sports.

Question

The two-way frequency table below shows data on playing a musical instrument and playing sports for the students in Jorge's class.
\begin{tabular}{lccc} 
& Play sports & Do not play sports & Total \
\hline Play a musical instrument & 6 & 7 & 13 \
Do not play a musical instrument & 8 & 3 & 11 \
Total & 14 & 10 & 24
\end{tabular}

Which of the following statements about Jorge's class is true?
Choose 1 answer:
(A) Students who do not play sports are more likely to play a musical instrument than students who do play sports.
(B) The fewest students play both a sport and a musical instrument.
(C) Students who play musical instruments are more likely to play sports than to not play sports.
(D) More students do not play sports than play sports.

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ Review the given two-way frequency table to understand the distribution of students who play a musical instrument and/or play sports. ‖ ‖ step 2 ⋮ Compare the number of students who play a musical instrument and play sports (6) with the number of students who play a musical instrument and do not play sports (7). ‖ ‖ step 3 ⋮ Compare the number of students who do not play a musical instrument and play sports (8) with the number of students who do not play a musical instrument and do not play sports (3). ‖ ‖ step 4 ⋮ Analyze the total number of students who play sports (14) and do not play sports (10) to determine the overall participation in sports. ‖ ‖ step 5 ⋮ Evaluate the statements given in the options (A) through (D) based on the data from the table. ‖ ∻[question number] Answer∻ ⚹ (A) Students who do not play sports are more likely to play a musical instrument than students who do play sports. ⚹ ∻Key Concept∻ ⚹Interpreting a two-way frequency table⚹ ∻Explanation∻ ⚹The statement (A) is true because 7 students who do not play sports play a musical instrument, which is more than the 6 students who play both sports and a musical instrument. The other statements are not supported by the data in the table.⚹◊What is the probability that a student chosen at random from Jorge's class plays a musical instrument?⍭ Generate me a similar question◊

Sia