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Mathematics 18 Online
OpenStudy (anonymous):

Andrew believes the honor roll students at his school have an unfair advantage in being assigned to the math class they request. He asked 500 students at his school the following questions: "Are you on the honor roll?" and "Did you get the math class you requested?" The results are shown in the table below. Honor roll Not on honor roll Total Received math class requested 215 125 340 Did not get math class requested 80 80 160 Total 295 205 500 Help Andrew determine if all students at his school have an equal opportunity to get the math class they requested. Show your work and explain your p

OpenStudy (mathmale):

This presentation of your math problem is a bit hard to read. Any chance you could take a screen shot of the problem you're working on and share it here? I just don't want to have to draw the table myself to understand it.

OpenStudy (anonymous):

HR NHR Total 215 125 340 - Received math classs requested 80 80 160 - did not get math class requested 295 205 500 - Total

OpenStudy (anonymous):

@mathmale

OpenStudy (mathmale):

thank you. Your table is so much better than before, and I appreciate your having shared this actual statement of the problem you're working on. The question is whether a student's being on the honor roll or not being on the honor roll has any connection to whether or not the student gets into the class he/she wanted. How would you go about figuring that out?

OpenStudy (anonymous):

Does it have anything to do with Joint probability ?

OpenStudy (mathmale):

Yes, I'd say this question does deal with joint probability. You could do this: Given that a student selected at random is an honors student, what is the probability that he/she will get into the course he/she wants? Given that a student selected at random is NOT an honors student, what is the probability that he/she will get into the course he/she wants?

OpenStudy (anonymous):

im just not sure how to solve for it !

OpenStudy (mathmale):

This table is called a "contingency table." Have you used such a table before? If not, could you possibly look up an example in your textbook or online learning materials before we discuss this further?

OpenStudy (anonymous):

Like this ?

OpenStudy (mathmale):

Yes. Thank you for looking for an example. I hope you'll read through that example and try to undrstand it. For now let's go back to your own contingency table. suppose that a student chosen at random from your group IS AN HONORS STUDENT. How many of such students got into the class they wanted? Look at HONORS STUDENTS ONLY.

OpenStudy (anonymous):

215

OpenStudy (mathmale):

ok. pLEASE DIVIDe that by the total number of HONORS STUDENTS ONLY.

OpenStudy (anonymous):

215/295 =0.72881356 = 0.73

OpenStudy (mathmale):

gREAT. Now look at the column NON-HONORS-STUDENTS. How many NON-HO0NORS-STUDEnts are there? Of these, how many NON-HONORS-STUDENTS got into the course they wanted?

OpenStudy (anonymous):

125 if you divide 125/205 = =0.6097561=0.61

OpenStudy (mathmale):

Right. So, what is your conclusion? Do ALL students have an equal chance of getting in to the courses they want? why?

OpenStudy (anonymous):

No, the honors students hava a higher percentage,so the process is unfair . in favor of honors students

OpenStudy (mathmale):

Absolutely right! Wonderful. You've got it! Although i need to help others now, I hope to work with you again in the future. NICE WORK!!

OpenStudy (anonymous):

thankyou so much yove really helped!

OpenStudy (mathmale):

:)

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