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 conclusion of this test, if our significance level a = 0.05?(a) We reject the null and conclude that we do not have enough evidence toconclude that the sample proportion is different from the proportion who failedin previous years(b) We fail to reject the null and conclude that we do not have enough evidence toconclude that the sample proportion is different from the proportion who failedin previous years(c) We reject the null and conclude that the sample proportion is different from theproportion who failed in previous years(d) We fail to reject the null and conclude that the sample proportion is differentfrom the proportion who failed in previous years(e) None of the above

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.

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.

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

What is the conclusion of this test, if our significance level a = 0.05?
(a) We reject the null and conclude that we do not have enough evidence to
conclude that the sample proportion is different from the proportion who failed
in previous years
(b) We fail to reject the null and conclude that we do not have enough evidence to
conclude that the sample proportion is different from the proportion who failed
in previous years
(c) We reject the null and conclude that the sample proportion is different from the
proportion who failed in previous years
(d) We fail to reject the null and conclude that the sample proportion is different
from the proportion who failed in previous years
(e) None of the above

Expert Solution

Step 1: Mention the given information

Let X be the number of students failed the test and n be the sample size..

Given that X=12 and n= 100.

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