MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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How does increasing the alpha/significance level increase the power of a statistical test?
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- We use the results of our first step to calculate a test-statistic. Why is this important and how does it relate to the concept of z-score, What is a p-value? What role does it play in the rejection of the null hypothesis? What does it mean to reject the null hypothesis? Does that guarantee that the null hypothesis is false?arrow_forwardThis research was conducted with Korean adolescents in the Los Angeles area. Would you be willing to generalize the results of this study to Korean adolescents who live in other regions of the country? Why or why not.arrow_forwardYou are conducting a study to see if the proportion of voters who prefer Candidate A is significantly more than 0.71. Thus you are performing a right-tailed test. Your sample data produce the test statistic z = 3.006. Find the p-value accurate to 4 decimal places. p-value =arrow_forward
- A homeless shelter program wants to know if receipt of job training program (yes, no) is related to program satisfaction (measured on a multi-item, Likert scale ). What type of statistical test should be used? Group of answer choices Independent t-test Dependent t-test ANOVA Correlation Analysis Chi Squarearrow_forwardWhat is the null hypothesis? Why do we want to reject our null hypothesis? The first step is the find the mean of our sample and compare it to the "hypothesized" mean of our null hypothesis—why do we do that? We use the results of our first step to calculate a test-statistic. Why is this important and how does it relate to the concept of z-score, which we learned a few weeks ago? What is a p-value? What role does it play in the rejection of the null hypothesis? What does it mean to reject the null hypothesis? Does that guarantee that the null hypothesis is false?arrow_forwardWhat does it mean for a test result to be statistically significant? Describe the relationship between alpha level, critical regions, and "p"arrow_forward
- What conclusions can be drawn from a study with a “statistical significance” result? What information do you look at to evaluate whether an effect obtained in an experiment is large enough to have a “practical” or “clinical” significance?arrow_forwardRefer to the ANOVA table for this regression. Source SS d.f. MS Regression 1,164,578 5 232,916 Residual 1,500,689 45 33,349 Total 2,665,267 50 (a) State the degrees of freedom for the F test for overall significance.arrow_forwardExplain the effect of heterogeneity of variance on the Type I error rate?arrow_forward
- You are conducting a study to see if the accuracy rate for fingerprint identification is significantly different from 0.23. You use a significance level of α=0.01 H0:p=0.23 H1:p≠0.23You obtain a sample of size n=228n=228 in which there are 70 successes.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... The sample data support the claim that the accuracy rate for fingerprint identification is different from 0.23. There is not sufficient sample evidence to support the claim that the accuracy rate for fingerprint identification is different from 0.23.arrow_forwardWhich best illustrates the distinction between statistical significance and practical importance? Multiple Choice "This year, 360 of 440 statistics students at Oxnard Technical College rented their textbooks, compared with 110 of 330 students last year. This is a significant increase." "Our new manufacturing technique has increased the life of the 80 GB USB AsimoDrive external hard disk significantly, from 240,000 hours to 250,000 hours." "In 50,000 births, the new vaccine reduced the incidence of infant mortality in Morrovia significantly from 14.2 deaths per 1000 births to 10.3 deaths per 1000 births." "The new Sky Penetrator IV business jet’s cruising range has increased significantly from 3,975 miles to 4,000 miles."arrow_forwardAn article reports that blue eyed people earn less than brown eyed people. Average blue eyed salary, $35,000, average brown eyes $37,000, p-value 0.45. Based on that reported p-value and using the common definition of "statistical significance" which is the case?arrow_forward
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