a certain​ survey, 519 people chose to respond to this​ question: "Should passwords be replaced with biometric security​ (fingerprints, etc)?" Among the​ respondents, 54​% said​ "yes." We want to test the claim that more than half of the population believes that passwords should be replaced with biometric security. Complete parts​ (a) through​ (d) below. a. Are any of the three requirements​ violated? Can a test about a population proportion using the normal approximation method be​ used? A. All of the conditions for testing a claim about a population proportion using the normal approximation method are​ satisfied, so the method can be used. B. The sample observations are not a random​ sample, so a test about a population proportion using the normal approximating method cannot be used. C. The conditions np≥5 and nq≥5 are not​ satisfied, so a test about a population proportion using the normal approximation method cannot be used. D. One of the conditions for a binomial distribution are not​ satisfied, so a test about a population proportion using the normal approximating method cannot be used.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 6E
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Question
In a certain​ survey,
519
people chose to respond to this​ question: "Should passwords be replaced with biometric security​ (fingerprints, etc)?" Among the​ respondents,
54​%
said​ "yes." We want to test the claim that more than half of the population believes that passwords should be replaced with biometric security. Complete parts​ (a) through​ (d) below.
a. Are any of the three requirements​ violated? Can a test about a population proportion using the normal approximation method be​ used?
 
 
A.
All of the conditions for testing a claim about a population proportion using the normal approximation method are​ satisfied, so the method can be used.
 
B.
The sample observations are not a random​ sample, so a test about a population proportion using the normal approximating method cannot be used.
 
C.
The conditions
np≥5
and
nq≥5
are not​ satisfied, so a test about a population proportion using the normal approximation method cannot be used.
 
D.
One of the conditions for a binomial distribution are not​ satisfied, so a test about a population proportion using the normal approximating method cannot be used.
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