In a certain​ survey, 516   people chose to respond to this​ question: "Should passwords be replaced with biometric security​ (fingerprints, etc)?" Among the​ respondents, 55 ​% 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?

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In a certain​ survey,

516
 

people chose to respond to this​ question: "Should passwords be replaced with biometric security​ (fingerprints, etc)?" Among the​ respondents,

55
​%
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.
The sample observations are not a random​ sample, so a test about a population proportion using the normal approximating 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 conditions
npgreater than or equals
5

and

nqgreater than or equals
5

are not​ satisfied, so a test about a population proportion using the normal approximation method cannot be used.

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