1) Given are the rates of poverty and the rate of people living with HIV/AIDS (per 100,000) by zip code (or zip-code grouping used by the Shelby County Health Dept.). Zip Code Overall Poverty (x) PLWHA rate (y) 38002 6.1 129.6 38016 5.4 282.6 38017 3.9 89.9 38018; 38028 7.5 303. 38053 15 264.2 38103; 38104; 38105 26.43 1466.5 106: 38126 53.25 1526.7 38107; 38108 39.1 1293.9 38109 26.7 1076 38111 29.2 688.8 38112; 38122 29.45 760.1 38114 35.4 1218.5 38115 29.8 923.7 38116 28.8 1021.7 38117 9.9 236.6 38118 32.8 818.1 38119; 38120 8.35 339.1 38125 8 582.4 38127 43.2 379.1 38128 30.8 714.9 38133 7.8 173.5 38134 17.1 478.5 38135 4.2 254.8 38138; 38139 2.4 64.1 38141 22.2 607.7Given the data above, calculate the linear correlation coefficient r a. 0.94 b. 0.35 c. 0.54 d. 0.88 e. 0.12 2) A survey administered to students at GW aimed to determine whether there is a relationship between sex and political party affiliation. It is of interest to test the claim that sex (male vs. female) is associated with political party affiliation (Democratic vs. Republican vs. other). Survey responses are shown below. Table of Political Party Affiliation by Sex Political Party Sex Democratic Republican Other Total Male 72 38 13 123 Female 103 23 9 135 Total 175 61 22 258 What is the value of the chi-square statistic? a. 3.13 b. 9.37 C. 9.82 d. 3.06 e. 4.41 3) An International Journal of Emergency Mental Health article found that a cohort of 50 White male police officers in Buffalo, New York, had a life expectancy that was 5.6 years shorter than similar men in the same city which is 78.5 years. Assuming that all males in the population have approximately normally distributed life span with a standard deviation of 9.1 years, you want to test the claim that White male police officers in Buffalo, New York have a mean life span that is different from 78.5 years. What is the value of the test statistic you would use to test the claim? a. 3.65 b. -1.47 c. -4.35 d. -5.384) A study was conducted to test the hypothesis that people with depression miss more days of work than average. There were 120 participants in the study with diagnosed depression, with an average of 113 days of missed work in a year. The standard deviation from the 120 participants was 10 and the distribution was normal. Construct a 95% confidence interval with an alpha of 0.05 and interpret it for the true mean days of work missed among people with diagnosed depression. a. We are 95% condent that the interval (1 111193, 114.807) contains the true value ofthe mean days of work missed among people with depression. b. We are 95% condent that the interval [106.732, 119.268} contains the true value of the mean days of work missed among people with depression. c. There is a 95% chance that the true mean days of work missed among people with depression will fall within the interval (1 12.175, 115.792). d. We are 90% condent thatthe interval [11 1.193, 114.807} contains the true value ofthe mean days of work missed among people with depression. e. Both aandc arecorrect E We are 90% condent that the interval [112.176, 115.792} contains the true value of the mean days of work missed among people with depression. 5} Refer to the data contained in the following contingency table, which describes results from a clinical trial of the szierfBioNTech SARS-CoV-2 vaccine (BNI'162b2) [based on 2020 data published in the New England Journal of Medicinem]. - SARS-CoV2 Infection No SARSCoV2 Infection 21,564 Using the information above, calculate the relative risk for SARS-CoVZ infection for those in the treatment group compared to the placebo group: a. 20.24 b. 0.05 c. 0.99 d. 1.01 e. 20.39 Refer to the following for questions 6-10. A study was conducted to investigate the effectiveness of meditation on cortisol levels. Results for the 10, randomly selected, subjects are below. Measurements are in mcg/dL. 1 2 3 4 5 6 7 8 9 10 Before |22 18 27 8 10 17 19 25 22 20 After 17 16 20 3 6 15 11 22 18 19 At the 0.05 level, test the claim that cortisol levels are lower after meditation 6. What is the null hypothesis? a. Ha 0 C. Ha 2 0 d. Ha SO e. Ha = 0 7. What are the mean and standard deviation of the differences? a. 3.8, 6.3 -4.1, 2.233 C. 2.9, 5.2 d. 4.7, 2.6 e. 3.2, 4.1 8. What is the critical value? a. -2.6 b. 5.4 C. 3.83 d. 6.12 e. -1.83 9. What is the test statistic? a. 6.12 -5.80 C. 6.25 d. 4.76 e. 3.33 10. Does meditation help reduce cortisol levels? Yes, reject Ho and conclude that there is sufficient evidence in favor of the claim that mean cortisol level is lower after meditation. b. Yes, reject HO, there is sufficient evidence to warrant rejection of the claim that cortisol levels are lower after meditation. C. No, fail to reject HO, there is not sufficient evidence to warrant rejection of the claim that cortisol levels are lower after meditation. d. No, fail to reject HO, the sample data do not support the claim that cortisol levels are lower after meditation. e. Not enough information