At a Certain University, 16% of Students Fail General Chemistry $\mathrm { z }$

question 14

Essay

At a certain university, 16% of students fail general chemistry on their first
attempt. Professor Brown teaches at this university and believes that the rate of
first-time failure in his general chemistry classes is 33%. He samples 96 students
from last semester who were first-time enrollees in general chemistry and finds
that 15 of them failed his course. i). State the appropriate null and alternate hypotheses.
ii). Compute the test statistic $\mathrm { z }$ .
iii). Using $\alpha = 0.05$ , can you conclude that the percentage of failures differs from $33 \%$ ?

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Definitions:

Original Cost

The purchase price of an asset or investment, including all expenses incurred to get the asset ready for its intended use.

Balance Sheet

A financial statement that summarizes a company’s assets, liabilities, and shareholders' equity at a specific point in time.

Pay Period

The interval of time for which employee wages are calculated and paid, such as weekly, biweekly, monthly.

Dorsiflexion

The backward bending or lifting of the foot at the ankle, moving the toes closer to the shin.