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In an Early Study, Researchers at a University Found That

question 135

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In an early study, researchers at a university found that 33% of the first year students had received at least one A in their first semester. Administrators are concerned that grade inflation has caused this percentage to increase. In a more recent study, of a random sample of 500 first year students, 185 had at least one A in their first semester.
-How much evidence do we have to reject the null hypothesis in favour of the alternative hypothesis that the percent receiving at least one A is now greater than one third?


Definitions:

Primary Amines

Organic compounds characterized by the presence of a \(NH_2\) group attached to a primary carbon atom, one that is only bonded to one other carbon.

Diazonium Salt

A class of organic compounds containing a nitrogen double bonded to a nitrogen atom which is also bonded to a benzene ring, significant in synthetic organic chemistry.

Nitrile

Organic compounds containing the cyano group (-C≡N), noted for their use in the production of rubber, resins, and pharmaceuticals.

Acid Chloride

A class of organic compounds derived from acids by replacing a hydroxyl group (-OH) with a chlorine atom, making them highly reactive.

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