Question

at west high school, 10% of the students participate in sports. a student wants to simulate the act of randomly selecting 20 students and counting the number of students in the sample who participate in sports. what is an appropriate assignment of digits for this simulation? let 0 - 8 = the student participates in sports. let 9 = the student does not participate in sports. let 0 = the student participates in sports. let 1 - 9 = the student does not participate in sports. let 0 and 1 = the student participates in sports. let 2 - 9 = the student does not participate in sports. let 2 - 9 = the student participates in sports. let 0 and 1 = the student does not participate in sports.

Explanation:

Step1: Analyze the proportion of students participating in sports

Since 10% of the students participate in sports, we need to assign digits such that 10% of the total digits (0 - 9, 10 digits in total) represent students participating in sports.

Step2: Check each option

• Option 1: 0 - 8 (9 digits) represent participation, 9 (1 digit) represents non - participation. The proportion of participation is \(\frac{9}{10}=90\%\), which is incorrect.
• Option 2: 0 (1 digit) represents participation, 1 - 9 (9 digits) represent non - participation. The proportion of participation is \(\frac{1}{10}=10\%\), which is correct.
• Option 3: 0 and 1 (2 digits) represent participation, 2 - 9 (8 digits) represent non - participation. The proportion of participation is \(\frac{2}{10}=20\%\), which is incorrect.
• Option 4: 2 - 9 (8 digits) represent participation, 0 and 1 (2 digits) represent non - participation. The proportion of participation is \(\frac{8}{10}=80\%\), which is incorrect.

Answer:

Let \(0=\) the student participates in sports. Let \(1 - 9=\) the student does not participate in sports.