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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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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 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
Transcribed Image Text: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
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