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

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

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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?

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.

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.

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

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?

This statement means that if the P-value is very low, the null hypothesis should be rejected.

This statement means that if the P-value is very low, the null hypothesis should be accepted.

This statement means that if the P-value is not very low, the null hypothesis should be rejected.

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?

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.

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.

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.

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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