MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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. 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.
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.
 
B.
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.
 
C.
The sample observations are not a random​ sample, so a test about a population proportion using the normal approximating 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.
 
b. It was stated that we can easily remember how to interpret​ P-values with​ this: "If the P is​ low, the null must​ go." What does this​ mean?
 
 
A.
This statement means that if the​ P-value is very​ low, the null hypothesis should be rejected.
 
B.
This statement means that if the​ P-value is very​ low, the null hypothesis should be accepted.
 
C.
This statement means that if the​ P-value is not very​ low, the null hypothesis should be rejected.
 
D.
This statement means that if the​ P-value is very​ low, the alternative hypothesis should be rejected.
 
c. Another memory trick commonly used is​ this: "If the P is​ high, the null will​ fly." Given that a hypothesis test never results in a conclusion of proving or supporting a null​ hypothesis, how is this memory trick​ misleading?
 
 
A.
This statement seems to suggest that with a high​ P-value, the null hypothesis has been proven or is​ supported, but this conclusion cannot be made.
 
B.
This statement seems to suggest that with a low​ P-value, the null hypothesis has been proven or is​ supported, but this conclusion cannot be made.
 
C.
This statement seems to suggest that with a high​ P-value, the alternative hypothesis has been proven or is​ supported, but this conclusion cannot be made.
 
D.
This statement seems to suggest that with a high​ P-value, the alternative hypothesis has been​ rejected, but this conclusion cannot be made.
 
d. Common significance levels are 0.01 and 0.05. Why would it be unwise to use a significance level with a number like​ 0.0483?
 
A. Significance levels must always end in a 1 or a 5
b. a significance level with more than 2 decimal places has no meaning
c. choosing a more specific significance level will make it more diffcult to reject the null hypthesis
d. choosing this specfic of a significance level could give the impression that the significance level was chosen specifically to reach a desired conclusion 
 
 
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