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 Cardio Free Weights White 84 80 100 Hispanic 82 85 92 Black 54 48 70 Other 50 55 66 What can be concluded at the a = 0.01 significance level?
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- Suppose that you wanted to design an investigation that examined the association between energy drink consumption and social interaction. You select your sample population and begin making your observations. As the research progresses, you suspect that a number of the subjects exhibit behavioral changes simply related to their knowledge of being enrolled in the study and the increased attention they are receiving as subjects. This phenomenon is known as: Group of answer choices selection bias the Hawthorne effect healthy participant effect misclassification error the Rosenthal effectThe Interpersonal Reactivity Index is a survey designed to assess four different types of empathy. One type of empathy, called Empathetic Concern, measures the tendency to feel sympathy and compassion for people who are less fortunate. The index ranges from 0 (less empathetic) to 28 (more empathetic). The following data, representing random samples of 8 males and 8 females, are consistent with results reported in psychological studies. Boxplots show that it is reasonable to assume that the populations are approximately normal and have equal variances. Males 13 20 14 16 13 26 21 23 Females 22 20 26 25 28 24 16 19 Can you conclude that there is a difference in mean empathy score between men and women? Use a=0.03. (1) Critical Values (Round off to 3 decimal places): (2) Test Statistic (Round off to 2 decimal places): (3) Conclusion: (Type 'Reject HO' or 'Fail to Reject HO')Researchers investigate how the presence of cell phones influence the quality of human interaction. Subjects are randomly selected from a population and divided into an experimental group that is asked to leave their phones in the front of the room and a control group that are not asked to leave their cell phones at the front of the room. Subjects are left alone for 10 minutes and then asked to take a survey designed to measure quality of interactions they had with others in the experiment. What statistical test is appropriate?
- 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…Empathy: The Interpersonal Reactivity Index is a survey designed to assess four different types of empathy. One type of empathy, called Empathetic Concern measures the tendency to feel sympathy and compassion for people who are less fortunate. The index ranges from 0 (less empathetic) to 28 (more empathet The following data, representing random samples of 11 males and 11 females, are consistent with results reported in psychological studies. Boxplots show tha it is reasonable to assume that the populations are approximately normal. Can you conclude that the mean empathy score for men is less than the mean empathy score for women? Let μ₁ denote the mean empathy score for males and μ₂ denote the mean empathy score for females. Use the a=0.01 level and the critical value method with the table. 12 16 13 26 21 23 8 15 18 25 15 Males 21 23 15 26 25 28 24 16 19 20 23 Females Part 1 of 6 Send data to Excel State the appropriate null and alternate hypotheses. H₁ | M₁ = μ₂ H₁ :|µ₁ <µ₂ This is a…The following table shows a sample dataset of observation values of an independent variable, Age, and a dependent variable, number of toys Age 5 3 6 3 4 4 6 8 Toys 13 15 7 12 13 11 9 5 What is the value of Toys when Age is 7 (round your answer without decimal)
- A researcher is interested in investigating whether religious affiliation and the brand of sneakers that people wear are associated. The table below shows the results of a survey. Frequencies of Religions and Sneakers Other Nike Adidas Protestant 95 83 100 Catholic 68 69 93 Jewish 15 23 26 Other 76 81 94 What can be concluded at the a = 0.10 significance level? a. What is the correct statistical test to use? Independence Homogeneity Goodness-of-Fit Paired t-test b. What are the null and alternative hypotheses? Но: Sneaker brand and religious affiliation are dependent. The distribution of sneaker brand is not the same for each religion. Sneaker brand and religious affiliation are independent. The distribution of sneaker brand is the same for each religion. H1: Sneaker brand and religious affiliation are independent. The distribution of sneaker brand is the same for each religion. The distribution of sneaker brand is not the same for each religion. O Sneaker brand and religious…The table below shows the age and favorite type of music of 668 randomly selected people. Use a 0.05 significance level to test the claim that the favorite type of music is independent of age. Rock Pop Classical 15 - 25 50 85 73 25 - 35 68 91 60 35 - 45 92 74 77 a. State Upper H 0 . A. Favorite type of music is related to age B. Favorite type of music is independent of age C. More people age 35 - 45 like rock than classical D. The age groups are independent b. Calculate the P-value. Which of these options is closest to the P-value? A. 0.0065 B. 0.0094 C. 0.0083 D. 0.0074 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…A Bloomberg Businessweek subscriber study asked, "In the past 12 months, when traveling for business, what type of airline ticket did you purchase most often?" A second question asked if the type of flight was domestic or international travel. Sample data obtained are shown in the following table. Type of Flight Type of Ticket Domestic International First Class 26 21 Business Class 99 123 Economy Class 515 137 a. Using a 0.05 level of significance, is the type of ticket purchased independent of the type of flight? Ho: Type of ticket purchased is independent of the type of flight H.: Type of ticket purchased is not independent of the type of flight v Compute the value of the x test statistic (to 2 decimals). Use Table 3 of Appendix B to find the p-value. The p-value is - Select your answer - What is your conclusion? Conclude that the type of ticket purchased Select your answer - v the type of flight. b. Discuss any dependence that exists between the type of ticket and type of flight. I.…
- 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 47Motor Vehicle Fatalities The table below lists motor vehicle fatalities by day of the week for a recent year (based on data from the Insurance Institute for Highway Safety). Use a 0.01 significance level to test the claim that auto fatalities occur on the different days of the week with the same frequency. Provide an explanation for the results.Researchers studied a group of 30 “self-designated worriers” (i.e. individuals who reported spending at least 10% of the day worrying) and who were over the age of 70 (mean age of 78.1). The researcher randomly assigned the worriers into three groups. For the next four weeks, each group would experience a different approach to handling worry. One group engaged in a worry-focus discussion group. The second group members enjoyed individual therapy. The third group went for daily walks in the park. Data was collected, analyzed, and interpreted. Write a valid one sentence hypothesis statement using proper form of the above research design.