In a certain survey, 507 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. a. Are any of the three requirements violated? Can a test about a population proportion using the normal approximation method be used? A. The conditions npgreater than or equals5 and nqgreater than or equals5 are not satisfied, so a test about a population proportion using the normal approximation 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 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. 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. B. This statement means that if the P-value is very low, the alternative hypothesis should be rejected. C. This statement means that if the P-value is very low, the null hypothesis should be accepted. 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 high P-value, the alternative hypothesis has been rejected, 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 null 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 proven or is supported, 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. 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. Significance levels must always end in a 1 or a 5. D. Choosing a more specific significance level will make it more difficult to reject the null hypothesis.

Name: In a certain survey, 507 people chose to respond to this question: "
Uploaded: 2024-03-20T07:07:00.000Z
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Description: In a certain survey, 507 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 populatio

Question

In a certain​ survey, 507 people chose to respond to this​ question: &#34;Should passwords be replaced with biometric security​ (fingerprints, etc)?&#34; Among the​ respondents, 55​% said​ &#34;yes.&#34; 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. The conditions npgreater than or equals5 and nqgreater than or equals5 are not​ satisfied, so a test about a population proportion using the normal approximation 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 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. 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: &#34;If the P is​ low, the null must​ go.&#34; 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 alternative hypothesis should be rejected. C. This statement means that if the​ P-value is very​ low, the null hypothesis should be accepted. 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: &#34;If the P is​ high, the null will​ fly.&#34; 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 alternative hypothesis has been​ rejected, 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 null 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 proven or is​ supported, 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. 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. Significance levels must always end in a 1 or a 5. D. Choosing a more specific significance level will make it more difficult to reject the null hypothesis.

Accepted Answer

Part A
The condition for using z-test (normal approximation) for proportion are:

The simple random…