Equivalence of Methods If we use the same significance level to conduct the hypothesis test using the P-value method, the critical value method, and a confidence interval, which method is not equivalent to the other two?
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Equivalence of Methods If we use the same significance level to conduct the hypothesis test using the P-value method, the critical value method, and a confidence interval, which method is not equivalent to the other two?
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- What is meant by the sample space of an experiment?Two-Sample Tests for Proportions What are the limitations of two-sample tests of proportions? Do these limitations present serious problems? Can the use of multiple confidence intervals for proportions overcome these limitations?Equivalence of Hypothesis Test and Confidence Interval Two different simple random samples are drawn from two different populations. The first sample consists of 20 people with 10 having a common attribute. The second sample consists of 2000 people with 1404 of them having the same common attribute. Compare the results from a hypothesis test of p1 = p2 (with a 0.05 significance level) and a 95% confidence interval estimate of p1 - p2.
- What does (statistically) equivalent mean? (Choose all that apply.) Confidence interval of the difference is entirely within the “goal posts” Null hypothesizes of both 1-sided t-tests are rejected Null hypothesizes of both 1-sided t-tests are accepted Two means being statistically equivalent requires they are statistically the sameH0: =, >, <, or ≠ _______________ year (s). H1: =, >, <, or ≠ _________________ year (s). Since the P-value is less than or equal to, or more than or equal to the significance level, reject or do not reject the null hypothesis. There is or is not sufficient evidence to support the claim that actress are generally younger when they won the award than actors. Since the confidence interval contains only zero, positive number values, or only negative number values, reject or warrent rejection of the null hypothesis.identify the test statistic identify p-value what is the conclusion based on the hypothesis test? The p-value is (greater than/less than) the significance level of alpha= , so (reject/fail to reject) the null hypothesis. there ( is sufficient/ is not sufficient) evidence to support the claim that the left- handedness among males is less than that among females. test the claim by the constructing an appropiate confidence interval the 90% confidence interval is Because the confidence interval limits (include/do not include) 0, it appears that the two rates of left-handedness are (equal/ not equal) There (is not sufficient/is sufficient) evidence to support the claim that the rate of left-handedness among males is less than that among females. Based on the results, is the rate of left-handedness among males less than the rate of left-handedness among females? A.The rate of left-handedness among males does not appear to be less than the rate of left-handedness among females…
- B. Identify the test statistic. t=___ C. Identify the P-value. P-value=___ D. What is the conclusion based on the hypothesis test? Since the P-value is (less than or equal to/ greater than) the significance level, (reject/ fail to reject) the null hypothesis. There (is/ is not) sufficient evidence to support the claim that actresses are generally younger when they won the award than actors. E. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same conclusion reached in part (a)? The confidence interval is___ year(s)<μd<___ year(s). F. What feature of the confidence interval leads to the same conclusion reached in part (a)? Since the confidence interval contains (zero/ only negative numbers/ only positive numbers) (reject/ fail to reject.).4) State your conclusion (reject or not?) and your interpretation of this conclusion. What does this outcome mean in the context of the problem? Use complete sentences. 5) Provide a 95% confidence intervals with interpretations. You now have two samples, so you can either produce an interval for each, or an interval for the difference. Either way, this will influence the way you interpret them. Use complete sentences.4)State your conclusion (reject or not?) and your interpretation of this conclusion. What does this outcome mean in the context of the problem? Use complete sentences. 5) Provide a 95% confidence intervals with interpretations. You now have two samples, so you can either produce an interval for each, or an interval for the difference. Either way, this will influence the way you interpret them. Use complete sentences.
- A biologist is studying fish diversity Lake Erie. The biologist knows that Black Carp are an invasive species in the region and would like to estimate the proportion of fish in Lake Erie that are Black Carp. Of 250 randomly sampled fish from Lake Erie, the biologist catches 60 Black Carp. What is the margin of error for a 95% confidence interval for the true proportion of fish that are Black Carp in Lake Erie?In hypothesis testing if the Null Hypothesis is rejected, we have strong evidence that… the Alternative Hypothesis is true we should collect more sample data the confidence level is too high no conclusions can be drawn from the testQuestion In a recent marathon with two races, 24,521 people in the first race finished and 283 dropped out. In the second race, 12,853 people finished and 152 dropped out. Use a 0.05 significance level to test the claim that the rate of those who finished is the same for both races. a) State the null and alternative hypothesis b) Calculate the test statistic, find the critical value and test the claim by constructing an appropriate confidence interval. c) Based on the results from b), do people finish the two marathons at the same rate (proportion)?
