Which of the following is NOT true about P-values in hypothesis testing? Choose the correct answer below. A. If the \( P \) is high, the null will fly. B. If the \( P \) is low, the null must go. C. The \( P \)-value is an area. D. The \( P \)-value separates the critical region from the values that do not lead to rejection of the null hypothesis. 15 16 17
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The P-value helps determine the strength of the evidence against the null hypothesis. A low P-value indicates strong evidence against the null hypothesis, leading to its rejection. Show more…
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In a certain survey, 511 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. The sample observations are not a random sample, 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. 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. 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 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 accepted. D. This statement means that if the P-value is 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 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 rejected, 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. 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 difficult to reject the null hypothesis. D. Choosing this specific of a significance level could give the impression that the significance level was chosen specifically to reach a desired conclusion.
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Which of the following are true? If false, explain briefly. a) A very high P-value is strong evidence that the null hypothesis is false. b) A very low P-value proves that the null hypothesis is false. c) A high P-value shows that the null hypothesis is true. d) A P-value below 0.05 is always considered sufficient evidence to reject a null hypothesis.
P-values Which of the following are true? If false, explain briefly. a) A very high P-value is strong evidence that the null hypothesis is false. b) A very low P-value proves that the null hypothesis is false. c) A high P-value shows that the null hypothesis is true. d) A P-value below 0.05 is always considered sufficient evidence to reject a null hypothesis.
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