In a certain survey, 501 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.
Are any of the three requirements violated? Can a test about a population proportion using the normal approximation method be used?
A. The sample observation 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. 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. 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.