Please help with part d in bold below. In a certain​ survey, 519 people chose to respond to this​ question: "Should passwords be replaced with biometric security​ (fingerprints, etc)?" Among...



Please help with part d in bold below.

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.


Your answer is correct.




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.





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.


Your answer is correct.




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 very​ low, the alternative hypothesis should be rejected.






D.


This statement means that if the​ P-value is not very​ low, the null 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 low​ 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 high​ P-value, the alternative 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​ rejected, but this conclusion cannot be made.






D.


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.


Your answer is correct.




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.



A significance level with more than 2 decimal places has no meaning.






B.



Choosing this specific of a significance level could give the impression that the significance level was chosen specifically to reach a desired conclusion.






C.



Choosing a more specific significance level will make it more difficult to reject the null hypothesis.






D.



Significance levels must always end in a 1 or a 5.






Jun 08, 2022
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