A study reported that about 40% of high school students have tried out for a sport at their school. To find out if this applies to Jessica’s school, she surveyed an SRS of 20 students. Nine of them said that they had tried out for a sport. To see if this result is surprising, a simulation is to be conducted to estimate the probability of obtaining a sample result as high as this one.
Let 0–3 represent students who tried out for a sport and 4–9 represent students who did not try out for a sport.
52644, 52348, 82462, 66233.
Using the line of random numbers to run one simulation, what proportion of students tried out for a sport?
0.40
0.45
0.50
0.60
To determine the proportion of students who tried out for a sport in one simulation using the line of random numbers, we can count the total number of digits in the sequence that fall within the range 0-3 and divide it by the total number of digits in the sequence.
The line of random numbers: 52644, 52348, 82462, 66233.
Counting the digits within the range 0-3:
52644 - 1 digit within the range
52348 - 1 digit within the range
82462 - 0 digits within the range
66233 - 1 digit within the range
Total digits within the range 0-3: 1 + 1 + 0 + 1 = 3
Total digits in the sequence: 5 + 2 + 6 + 4 + 4 + 5 + 2 + 3 + 8 + 8 + 2 + 4 + 6 + 2 + 6 + 6 + 2 + 3 + 3 = 85
Proportion of students who tried out for a sport: 3/85 = 0.035 (rounded to three decimal places)
Therefore, the answer is 0.035, which is not given as one of the options.