# 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.iii) Using α=0.05, can you conclude that the percentage of failures differs from 33%?

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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.

iii) Using α=0.05, can you conclude that the percentage of failures differs from 33%?

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Step 1

Given Data

Step 2

i)

Formulation of Hypotheses:

The  objective is to test, whether or not the proportion of first time failure rate is equal to 0.33

The null hypothesis is:

H0­ : p = 0.33

The alternative hypothesis is...

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