Using Table E.6, determine the lower-tail critical value for the Wilcoxon rank sum test statistic,
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- A researcher obtained a result of t(9)=1.22, p>.05 for their study using a one sample t-test. Are the results significant using an alpha level of .05 and how many participants were in the group?arrow_forwardWith a = .01, what is the critical t value for a one-tailed test with n = 30? O t = 2.457 Ot = 2.462 Ot = 2.756 Ot = 2.750arrow_forwardA sample of n=25 scores has a mean of M=68. Find the z-score for this sample: if it was obtained from a population with u=60 and 0=10arrow_forward
- A sample of 12 male and 12 female students were surveyed and the amount spent on food last week were recorded. The results are summarized in the table below. Test for the hypothesis that the weekly amount spent on food of male and female students is the same, at a=0.10. Male Female 623 685 537 629 613 517 588 580 651 658 688 582 526 614 579 528 814 655 878 804 660 549 722 617 a. What are the null and alternative hypotheses?b. What is the critical value? (4 decimal points)c. What is the test statistic? (4 decimal points)e. Reject or accept null hypothesis?arrow_forwardThe NAEP considers that a national average of 283 is an acceptable performance. Using α = .05, run a two-tail t-test for one sample to test Ho: µ=283 for the 2019 scores. Report the t-obt, df, and p-values. Would you reject the null hypothesis that the 2019 scores come from a population with average 283? If this is the case, does it come from a population from larger or smaller average?arrow_forwardTwo researchers conduct separate studies to test Ho: p=0.50 against Ha: p0.50, each with n = 400. Researcher A gets 226 observations in the category of interest, and p= 6=226/400=0.565. Researcher B gets 225 in the category of interest, and p = 225/400=0.5625. Complete parts (a) through (d) below. a. Find the z-scores and P-values for both researchers. Researcher A Z = Researcher B Z = P-value = P-value = (Round the z-scores to two decimal places as needed. Round the P-values to three decimal places as needed.) The result in case A is The result in case B is b. Using α = 0.01, indicate in each case whether the result is "statistically significant." Interpret. What does the statistical significance of the results above imply? OA. A difference in conclusions between two hypothesis tests does not necessarily mean that the test with the result that is deemed "statistically significant" is actually much more significant than the test with the result that is deemed "not statistically…arrow_forward
- a. Report and interpret the P-value for Fisher's exact test with (i) Ha: 0 > 1 and (ii) Hạ: 0 # 1. Explain how the P-values are calculated. b. Find and interpret the mid P-value for Ha: 0 > 1. Summarize advantages and disadvantages of this type of P-value. Table 3.14 Data for Exercise 3.18 on Therapy for Cancer of Larynx Cancer Controlled Cancer Not Controlled Surgery Radiation therapy 21 15 23arrow_forwardA medical researcher is interested in determining if there is a relationship between adults over 50 who exercise regularly and levels of blood pressure. A random sample of 236 adults over 50 is selected and the results are given below. Calculate the test statistic to test the claim that regular exercise and blood pressure are independent. Use α = 0.01.arrow_forwardThe amount of time for a rat to get through a maze has mean 1.5 minutes and variance 1.0. Consider a random sample of 100 rats, and denote the average getting through time of these 100 rats as Y. Find the value yo, such that Pr(1.5 – yo < Ý < 1.5+ yo) = 0.95. -arrow_forward
- A sample of n=25 scores has a mean of M=68. Find the z-scores for this sample: if it was obtained from a population with u=60 and o=40arrow_forwardThe national Cesarean delivery rate for a recent year was 32.2% (number of live births performed by Cesarean section). A random sample of 100 birth records from three large hospitals showed the following results for type of birth. Test for homogeneity of proportions using α = 0.10. Hospital A Hospital B Hospital C Cesarean 44 28 39 Non-Cesarean 56 72 61arrow_forwardA sample of n = 25 scores has a mean of M = 68. Find the z-scores for this sample: a. If it was obtained forom a population with u = 60 and o = 10 b. If it was obtained from a population with u = 60 and o = 20 c. If it was obtained from a population with u = 60 and o = 40arrow_forward
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill