Answered: . What is the test statistic of this…

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Probability

. What is the test statistic of this test? (a) -0.02 (b) 0.02 (c) 2.46 (d) -2.46 (e) None of the above

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Foreign freshmen are required to take an English placement exam. Over the past several years, 20% of the new students have failed the test and have been placed in remedial classes. In a sample of n = 100 students
from this year’s class, only 12 failed the test.

What is the test statistic of this test?
(a) -0.02
(b) 0.02
(c) 2.46
(d) -2.46
(e) None of the above

Expert Solution

Step 1: One proportion z-test

One proportion z test compares the difference between sample proportion and population proportion. And the formula of test statistic is given by

$z equals fraction numerator p with hat on top minus p over denominator square root of fraction numerator p left parenthesis 1 minus p right parenthesis over denominator n end fraction end root end fraction$

Where,

$p with hat on top$ is sample proportion

p is the population proportion

n is the sample size

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