In a certain​ survey, 524 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. a. Are any of the three requirements​ violated? Can a test about a population proportion using the normal approximation method be​ used?     A. 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.   B. 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.   C. 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.   D. The sample observations are not a random​ sample, so a test about a population proportion using the normal approximating method cannot be used.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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In a certain​ survey, 524 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.

a. Are any of the three requirements​ violated? Can a test about a population proportion using the normal approximation method be​ used?
 
 
A.
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.
 
B.
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.
 
C.
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.
 
D.
The sample observations are not a random​ sample, so a test about a population proportion using the normal approximating method cannot be used.
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