A Statistics professor has observed that for several years about 14% of the stud

Question

A Statistics professor has observed that for several years about 14% of the students who initially enroll in his Introductory Statistics course withdraw before the end of the semester. A salesman suggests that he try a statistics software package that gets students more involved with computers, predicting that it will cut the dropout rate The professor can use the software free of charge for one semester as part of a trial package. Initially, 186 students signed up for the Statistics course. They used the software suggested, and only 15 dropped out of the course. Complete parts a and b below. a) Should the professor spend the money for this software? Support your recommendation with an appropriate test. Use =0.05. Assume 186 0.0806 OE.

Explanation / Answer

The statistical software output for this problem is:

One sample proportion summary hypothesis test:
p : Proportion of successes
H0 : p = 0.14
HA : p < 0.14

Hypothesis test results:

Hence,

a) Hypotheses: Option C is correct,

Test statistic = -2.33

P - value = 0.0098

Option A is correct.

b) Option A; 0.98 %

Proportion Count Total Sample Prop. Std. Err. Z-Stat P-value p 15 186 0.080645161 0.025442324 -2.3329174 0.0098

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