A one-sided hypothesis test is to be performed with a significance level of 0.05. Suppose that the null hypothesis is false. If a significance level of 0.01 were to be used instead of a significance level of 0.05, which of the following would be true?
A. Neither the probability of a Type II error nor the power of the test would change.
B. Both the probability of a Type II error and the power of the test would decrease.
C. Both the probability of a Type II error and the power of the test would increase.
D. The probability of a Type II error would decrease and the power of the test would increase.
E. The probability of a Type II error would increase and the power of the test would decrease.
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Final Answer: E) The probability of a Type II error would increase and the power of the test would decrease. ; Answer from Granx on brainly.com
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Do you reject or fail to reject H0 at the 0.05 level of significance? ... Given H0: μ 85, H1: μ > 85, and P = 0.005. Do you reject or fail to reject H0 at the 0.01 level of significance? ... The mean age of principals in a local school district is 47.1 years. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis?
Yale Statistics
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Tests of Significance
> z*) = . For example, if the desired significance level for a result is 0.05, the corresponding value for z must be greater than or equal to z* = 1.645 (or less than or equal to -1.645 for a one-sided alternative claiming that the mean is less than the null hypothesis).
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SOLVED: A one-sided hypothesis test is to be performed with a significance level of 0.05. Suppose that the null hypothesis is false. If a significance level of 0.01 were to be used instead of a significance level of 0.05, which of the following would be true? Both the probability of a Type Il error and the power of the test would increase: The probability of a Type Il error would increase and the power of the test would decrease. The probability of a Type Il error would decrease and the power of the test wo
VIDEO ANSWER: high for this question, we examine each answer chosen to see whether or not they're correct. Hey. So first explain the problem. We know we decrease the significance level So a both the probability of type two error and the power of the
Penn State Statistics
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S.3.2 Hypothesis Testing (P-Value Approach) | STAT ONLINE
Using the known distribution of the test statistic, calculate the P-value: "If the null hypothesis is true, what is the probability that we'd observe a more extreme test statistic in the direction of the alternative hypothesis than we did?" (Note how this question is equivalent to the question answered in criminal trials: "If the defendant is innocent, what is the chance that we'd observe such extreme criminal evidence?") Set the significance level, \(\alpha\), the probability of making a Type I error to be small — 0.01, 0.05, or 0.10.
PubMed Central
pmc.ncbi.nlm.nih.gov › articles › PMC10232224
Are Only p-Values Less Than 0.05 Significant? A p-Value Greater Than 0.05 Is Also Significant! - PMC
For example, when performing a statistical hypothesis test, if the significance level is set to 0.05 and the calculated significance probability is 0.002, the set null hypothesis is rejected and the conclusion is made with the content of the alternative hypothesis.
Applied Mathematics
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9 Hypothesis Tests (Ch 9.1-9.3, 9.5-9.9)
reject the null hypothesis;; for the other 81%, a type II error
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A hypothesis test for a normally-distributed population at a 0.05 significance level implies a: a. 95% probability of rejecting a true null hypothesis b. 95% probability of a Type 1 error for a two-tailed test c.
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Study with Quizlet and memorize flashcards containing terms like The level of significance in hypothesis testing is the probability of, When the p-value is used for hypothesis testing, the null hypothesis is rejected if, When using Excel to calculate a p-value for an upper-tail hypothesis test, ...
UCLA Statistics
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FAQ: What are the differences between one-tailed and two-tailed tests?
If you are using a significance level of 0.05, a two-tailed test allots half of your alpha to testing the statistical significance in one direction and half of your alpha to testing statistical significance in the other direction. This means that .025 is in each tail of the distribution of ...
Wikipedia
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Null hypothesis - Wikipedia
3 weeks ago - Let outcomes be considered unlikely with respect to an assumed distribution if their probability is lower than a significance threshold of 0.05. A potential null hypothesis implying a one-tailed test is "this coin is not biased toward heads". Beware that, in this context, the term "one-tailed" ...
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In a one-sided test of the hypotheses about the population proportion, the p-value was found to be 0.045. The null hypothesis in this test would _______. a. be rejected if the significance level is 0.05. b. not be rejected if the significance level is 0 | Homework.Study.com
From this we can: a) Reject the null hypothesis with 99% confidence. b) Reject the null hypothesis with 96% confidence. c) Say that the probability that the null hypothesis is false is 0.04. d) Say th · If the null hypothesis is rejected at the 0.05 level of significance, it will: a.
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A one-tailed test more strongly reflects the beliefs of the researcher than a two-tailed test. A hypothesis test for a normally distributed population at a 0.05 significance level implies a: A.95% probability of rejecting a true null hypothesis.
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A small p-value (typically ≤ 0.05) indicates strong evidence against the null hypothesis, so you reject the null hypothesis. A large p-value (> 0.05) indicates weak evidence against the null hypothesis, so you fail to reject the null hypothesis.
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A value, determined from sample information, used to test the null hypothesis. What is the meaning of "level of significance" in the context of hypothesis testing?
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B) The significance level of 0.05 is the probability of concluding that the defect rate is higher than 0.07 when in fact the defect rate is equal to 0.07. (Solve the Problem) A polling agency is interested in testing whether the proportion of ...