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Mathematics 13 Online
OpenStudy (anonymous):

Josh believes the Spanish club students at his school have an unfair advantage in being assigned to the Spanish class they request. He asked 500 students at his school the following questions: "Are you in the Spanish club?" and "Did you get the Spanish class you requested?" The results are shown in the table below:

OpenStudy (anonymous):

OpenStudy (anonymous):

Help Josh determine if all students at his school have an equal opportunity to get the Spanish class they requested. Show your work, and explain your process for determining the fairness of the class assignment process.

OpenStudy (anonymous):

Would I just have to divide those in the class/club by the total?

OpenStudy (anonymous):

@Michele_Laino

OpenStudy (anonymous):

@jigglypuff314

OpenStudy (michele_laino):

the spanish club contains 335 students, and the other club (not spanish) contains 165 students

OpenStudy (michele_laino):

tell me when I may continue

OpenStudy (anonymous):

okay continue

OpenStudy (michele_laino):

now, the probability for students in the spanish club, to get the requested class, is: 265/335=...?

OpenStudy (anonymous):

0.79

OpenStudy (michele_laino):

ok!

OpenStudy (michele_laino):

whereas the probability for students in the other club (not spanish) to get the requested class, is: 100/165=...?

OpenStudy (anonymous):

0.60

OpenStudy (michele_laino):

ok!

OpenStudy (michele_laino):

since 0.79>0.60, what we can conclude?

OpenStudy (anonymous):

the spanish club students do have a fair advantage of getting into the class?

OpenStudy (michele_laino):

yes!

OpenStudy (anonymous):

Oh okay! simple enough haha

OpenStudy (michele_laino):

:)

OpenStudy (anonymous):

thank you!

OpenStudy (michele_laino):

thank you!

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