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Gloria took a survey of high school students to see how many had part-time jobs last summer. The results of the survey are shown in the table. Compare theprobability that a student in the senior class had a part-time job to the probability that a student in the freshman class had a part-time job.

Gloria took a survey of high school students to see how many had part-time jobs last-example-1
User Zaheer Ansari
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1 Answer

16 votes
16 votes

Find the probabilities


\begin{gathered} f=(25)/(39) \\ s=(11)/(42) \end{gathered}

We can make a easy comparison by finding the percentage of the two


f=(25)/(39)*100=25/39=0.641025641*100=64.1025641
\begin{gathered} 64.1025641 \\ 1\text{ < 5} \\ 64 \end{gathered}

The percentage that a freshman has a summer job will be 64%

Now the seniors


s=(11)/(42)*100=11/42=0.261904762*100=26.1904762
\begin{gathered} 26.1904762 \\ 9\text{ < 5} \\ 26.2 \end{gathered}

26.2% of the seniors have a summer job.

So, the obvious comparison is that "a senior is less likely to have a job then a freshman" or the second option. Since the percentage that a freshman will have a job is much higher then the percentage a senior will have a job.