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.
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?
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.
The sample observations are not a random sample, so a test about a population proportion using the normal approximating method cannot be used.
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.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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