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Mathematics 63 Online
esha1963:

Alex believes the honor roll students at his school have an unfair advantage in being assigned to the science class they request. He asked 500 students at his school the following questions: "Are you on the honor roll?" and "Did you get the science class you requested?" The results are shown in the table below: Honor roll Not on honor roll Total Received science class requested 64 315 379 Did not get science class requested 80 41 121 Total 144 356 500 Help Alex determine if all students at his school have an equal opportunity to get into the science class they requested. Show your work, and explain your process for determining the fairness of the class assignment process.

esha1963:

@darkknight

darkknight:

The table format is a bit wierd, could you upload it Instead?

esha1963:

i was just going to ask you that!

darkknight:

Yeah sure. If you can.

esha1963:

1 attachment
esha1963:

you see it?

darkknight:

Yeah

darkknight:

For this we would have to understand the table, how much of it do you understand?

esha1963:

i understand the table quite good i would say

darkknight:

So all you have to do. Is to find the percentage that get into the course that they request and the ones that they didn't

darkknight:

So for ex, 64/379 students received the class requested (for honor roll)

darkknight:

And for ex, 315/379 received the class requested (for non-honor roll)

darkknight:

So this is quite straightforward. 64 of the honor roll students received the class they wanted. and 80 didn't receive the class they wanted. So more honor roll students didn't receive the class that they wanted than the class that they did. But we still have more because we need to compare to non-honor roll students

darkknight:

So out of the non-honor roll students. 315 received class they requested, and only 41 didn't. As you can see, that is an outstanding majority for the non-honor roll students! So when we compare. The non-honor roll students seem to be receiving the class that they requested. So I would say that there isn't an equal opportunity to get into the science class that they requested for non-honor roll and honor roll students. Because non-honor roll students seem to have an advantage.

esha1963:

okay and to prove this i would take the percentage?

darkknight:

If you want to. But it is pretty straightforward because you can just look at the majority. Like 64 < 80 But 315 < 41

esha1963:

lol.. okay, thank you so much!

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