A. The sample observations are not a random sample, so a test about a population proportion using the normal approximating method cannot be used B. All of the conditions for testing a claim about a population proportion using the normal approximation method are satisfied, so the method can be us c. One of the conditions for a binomial distribution are not satisfied, so a test about a population proportion using the normal approximating method ca be used D. The conditions np2 5 and nq 2 5 are not satisfied, so a test about a population proportion using the normal approximation method cannot be used In a certain survey, ST peopie chose lo Tespona to tNis question. Should passwords be repiaced with DION respondents, 55% said "yes." We want to test the claim that more than half of the population believes that Complete parts (a) through (d) below. b. It was stated that we can easily remember how to interpret P-values with this: "If the P is low, the null mu A. This statement means that if the P-value is very low, the alternative hypothesis should be rejected B. This statement means that if the P-value is not very low, the null hypothesis should be rejected C. This statement means that if the P-value is very low, the null hypothesis should be rejected D. This statement means that if the P-value is very low, the null hypothesis should be accepted.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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In a certain​ survey,

51

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. Complete parts​ (a) through​ (d) below.

 

Are any of the three requirements​ violated? Can a test about a population proportion using the normal approximation method be​ used?

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?
 
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?
 
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. The sample observations are not a random sample, so a test about a population proportion using the normal approximating method cannot be used
B. All of the conditions for testing a claim about a population proportion using the normal approximation method are satisfied, so the method can be us
c. One of the conditions for a binomial distribution are not satisfied, so a test about a population proportion using the normal approximating method ca
be used
D. The conditions np2 5 and nq 2 5 are not satisfied, so a test about a population proportion using the normal approximation method cannot be used
Transcribed Image Text:A. The sample observations are not a random sample, so a test about a population proportion using the normal approximating method cannot be used B. All of the conditions for testing a claim about a population proportion using the normal approximation method are satisfied, so the method can be us c. One of the conditions for a binomial distribution are not satisfied, so a test about a population proportion using the normal approximating method ca be used D. The conditions np2 5 and nq 2 5 are not satisfied, so a test about a population proportion using the normal approximation method cannot be used
In a certain survey, ST peopie chose lo Tespona to tNis question. Should passwords be repiaced with
DION
respondents, 55% said "yes." We want to test the claim that more than half of the population believes that
Complete parts (a) through (d) below.
b. It was stated that we can easily remember how to interpret P-values with this: "If the P is low, the null mu
A. This statement means that if the P-value is very low, the alternative hypothesis should be rejected
B. This statement means that if the P-value is not very low, the null hypothesis should be rejected
C. This statement means that if the P-value is very low, the null hypothesis should be rejected
D. This statement means that if the P-value is very low, the null hypothesis should be accepted.
Transcribed Image Text:In a certain survey, ST peopie chose lo Tespona to tNis question. Should passwords be repiaced with DION respondents, 55% said "yes." We want to test the claim that more than half of the population believes that Complete parts (a) through (d) below. b. It was stated that we can easily remember how to interpret P-values with this: "If the P is low, the null mu A. This statement means that if the P-value is very low, the alternative hypothesis should be rejected B. This statement means that if the P-value is not very low, the null hypothesis should be rejected C. This statement means that if the P-value is very low, the null hypothesis should be rejected D. This statement means that if the P-value is very low, the null hypothesis should be accepted.
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