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...




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.








Jun 08, 2022
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