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:

Objective Procedures

Processes or protocols that are based on factual and unbiased criteria, ensuring fairness and consistency in application.

Redefining Decision

A strategic pivot or change in direction based on new insights or conditions, affecting future actions and policies.