A fitness trainer is interested in investigating whether ethnicity and the first exercise activity that members engage in aredependent. The table below shows the results of the trainer's observation of randomly selected members.Frequencies of Ethnicity and Exercise ActivityWeight MachinesWhiteHispanicBlackOtherCardio8484684898975170O HomogeneityO IndependenceFree Weights81986941What can be concluded at the α = 0.05 significance level?a. What is the correct statistical test to use?O Goodness-of-FitPaired t-testb. What are the null and alternative hypotheses?Ho:O Ethnicity and first exercise activity are dependent.O Ethnicity and first exercise activity are independent.O The distribution of first exercise activity is not the same for each ethnicity.O The distribution of first exercise activity is the same for each ethnicity.H₁:O The distribution of first exercise activity is the same for each ethnicity.O Ethnicity and first exercise activity are dependent.O The distribution of first exercise activity is not the same for each ethnicity.O Ethnicity and first exercise activity are independent. H₁O The distribution of first exercise activity is the same for each ethnicity.O Ethnicity and first exercise activity are dependent.O The distribution of first exercise activity is not the same for each ethnicity.O Ethnicity and first exercise activity are independent.c. The test-statistic for this data =d. The p-value for this sample=e. The p-value is Select an answerf. Based on this, we shouldO accept the nullreject the nullO fail to reject the nullaHint: Helpful Video [+]Textbook PagesHelp(Please show your answer to three decimal places.)(Please show your answer to four decimal places.)g. Thus, the final conclusion is...O There is sufficient evidence to conclude that ethnicity and first exercise activity are independent.O There is insufficient evidence to conclude that ethnicity and first exercise activity are dependent.O There is insufficient evidence to conclude that the distribution of first exercise activity is not the same foreach ethnicity.O There is sufficient evidence to conclude that ethnicity and first exercise activity are dependent.O There is sufficient evidence to conclude that the distribution of first exercise activity is not the same foreach ethnicity.

Cardio Weight machines Free weights Row Total White 84 98 81 263 Hispanic 84 97 98 279 Black…

Answered: A fitness trainer is interested in…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A fitness trainer is interested in investigating whether ethnicity and the first exercise activity that members engage in are dependent. The table below shows the results of the trainer's observation of randomly selected members. Frequencies of Ethnicity and Exercise Activity Weight Machines 80 85 Cardio Free Weights White 84 82 100 Hispanic Black Other 54 50 48 55 70 What can be concluded at the a 0.01 significance level? a. What is the correct statistical test to use? O Homogeneity O Paired t-test O Goodness-of-Fit O Independence b. What are the null and alternative hypotheses? Ho Ethnicity and first exercise activity are independent. O The distribution of first exercise activity is not the same for each ethnicity. O The distribution of first exercise activity is the same for each ethnicity. O Ethnicity and first exercise activity are dependent. HE O The distribution of first exercise activity is the same for each ethnicity. Ethnicity and first exercise activity are dependent.…
Winning team data were collected for teams in different spots, with the results given in the accompanying table. Use a 0.10 significance level to test the claim that home/visitor wins are independent of the sport. Basketball Baseball Hockey Football Home team wins 127 53 50 57 Visiting team wins 71 47 43 42 a. State Upper H 0 . A. Home/visitor wins are independent of the sport B. Home/visitor wins are related to the sport C. Home field advantage is more important in basketball D. More home basketball teams win b. Calculate the P-value. Which of these options is closest to the P-value? A. 0.1921 B. 0.1864 C. 0.1897 D. 0.2043 c. State the technical conclusion. A. Do not reject Upper H 0 B. Reject Upper H 0 d. State the final conclusion. A. There is not…
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A case-control (or retrospective) study was conducted to investigate a relationship between the colors of helmets worn by motorcycle drivers and whether they are injured or killed in a crash. Results are given in the accompanying table. Using a 0.01 significance level, test the claim that injuries are independent of helmet color. D Black Color of Helmet Yellow 32 Blue White 331 Controls (not injured) Red 159 482 100 Cases (injured or 211 109 8 65 47 killed) Click here to view the chi-square distribution table. Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: Whether a crash occurs and helmet color are dependent H₁: Whether a crash occurs and helmet color are independent OB. Ho: Injuries and helmet color are dependent H₁: Injuries and helmet color are independent OC. Ho: Whether a crash occurs and helmet color are independent H₁: Whether a crash occurs and helmet color are dependent O D. Ho: Injuries and helmet color are independent H₁: Injuries…
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A case-control (or retrospective) study was conducted to investigate a relationship between the colors of helmets worn by motorcycle drivers and whether they are injured or killed in a crash. Results are given in the accompanying table. Using a 0.01 significance level, test the claim that injuries are independent of helmet color. Color of Helmet Black White Yellow Red Blue Controls (not injured) 494 343 27 168 99 Cases (injured or killed) 210 107 6 71 47

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