Question

a random sample of 25 seniors were asked what they planned to do immediately after graduation from high school. their responses are shown in the table. which is a possible inference you can make about the entire senior class using only the information provided? intention number of students college 14 job 6 military 0 no plans 5 it is likely that more than half of the students in the senior class plan to attend college. no students at the school plan to join the military. exactly 20% of the seniors at the school have no plans for after graduation. exactly 24% of the seniors plan to find a job.

Explanation:

Step1: Calculate proportion of students planning college

$\frac{14}{25}=0.56 = 56\%$

Step2: Analyze each option

• Option 1: Since 56% of the sample plan to attend college, it is likely that more than half of the senior - class plan to attend college.
• Option 2: Just because 0 students in the sample plan to join the military doesn't mean no students in the whole school plan to join the military.
• Option 3: 5 out of 25 students in the sample have no plans, which is $\frac{5}{25}=0.2 = 20\%$ of the sample, but we can't say exactly 20% of the whole senior - class have no plans.
• Option 4: 6 out of 25 students in the sample plan to find a job, which is $\frac{6}{25}=0.24 = 24\%$ of the sample, but we can't say exactly 24% of the whole senior - class plan to find a job.

Answer:

It is likely that more than half of the students in the senior class plan to attend college.