Question

a study reported that about half of high school seniors study for upcoming math tests. to find out if this applies to seniors at garfield high school, an srs of 30 seniors was asked if they study for their math tests. nineteen responded \yes\. a dot - plot is provided showing the results of 40 trials of this simulation. seniors who study for math tests frequency 12 10 8 6 4 2 0 12 14 16 18 20 number of seniors who responded \yes\

Explanation:

Step1: Analyze the dot - plot

We are given a dot - plot of 40 simulation trials and a sample of 30 seniors where 19 responded "Yes" to studying for math tests. We need to determine if about half of the seniors at Garfield High School study for math tests based on the simulation results.

Step2: Evaluate each option

• Option 1: If more than half of the simulated results are over 15, it suggests that 19 (the observed value) is not unusual and the claim that about half study may be valid.
• Option 2: The presence of an outlier at 20 does not directly address whether about half of the seniors study.
• Option 3: Outcomes as low as 12 do not tell us if about half of the seniors study.
• Option 4: Only one trial having a result of 19 or larger implies that 19 is an unusual result, which goes against the claim that about half study.

Since if more than half of the simulated results are over 15, it is more likely that about half of the seniors study for math tests.

Answer:

Yes, more than half of the simulated results are over 15.