Tattoos and Body Piercings Randomization Design • To randomly select the two classes we surveyed, we first numbered all the classes during Period 2 alphabetically by teacher, so 1 = Aguilar, 2 = Armstrong, etc. up until 54 = Younglund. Then, using a random integer generator on a calculator, we obtained 2 numbers from 1-54. If the two numbers were the same, we would regenerate another random integer set using the calculator. The first number in the set corresponded to the class that gets our unbiased survey, while the second number in the set corresponded to the class that receives our biased survey. We Saved Paper! 3 Surveys on one page = minimization of paper! Introduction: Bias We Introduced For our project, we evaluated the effects of tattoos and body piercings in the workplace, at school, or around peers. We wanted to see if there was any bias towards people with body piercings or tattoos. We introduced bias by adding additional information to the questions about what other people thought Sample Size • Sample Size for Biased Questions (Aguilar’s class): 37 • Sample size for Unbiased Questions (Main’s class): 36 • Our sample sizes are big enough because they are both greater than 30. Our Survey: Unbiased 1) What is your gender? a) Male b) Female 2) What is your age? _____ 3) Do you have any of the following? **Earrings do not count as body piercings FOR FEMALES ** a) Body Piercing(s) b) Tattoo(s) c) Neither d) Both 4) What is your religion? a) Christian b) Catholic c) Jewish d) Muslim e) Other: _______________ 5) How strongly do you think tattoos affect a person's ability to obtain a job? a) Not affected at all b) A little bit affected c) Moderately affected d) Definitely won't be hired 6) How strongly do you think body piercings affect a person's ability to obtain a job? a) Not affected at all b) A little bit affected c) Moderately affected d) Definitely won't be hired 7) Do you believe that a person's co-workers or peers would view them any differently if that person got a tattoo? a) Yes b) No 8) Do you believe that a person's co-workers or peers would view them any differently if that person got a body piercing? a) Yes b) No 9) Do you believe that in a professional setting, a person should conceal their tattoos? a) Yes b) No 10) Do you believe that in a professional setting, a person should conceal their body piercings? a) Yes b) No Our Survey: Biased 1) In a 1999 study by researchers from Emory University and Howard University, it was found that more than 80 percent of the 160 women surveyed were pierced but less than 20 percent were tattooed. Do you believe females are less likely to get tattoos than males? a) Yes b) No 2) Many states require that a person getting a tattoo or piercing, have to be at least 18. But, some states do allow minors (17 or less) to be tattooed or pierced with parental consent. Do you wish you lived in one of these states? a) Yes b) No 3) Certain religions, for example Judaism, prohibit tattoos and body piercings. Do you think a person's religion should influence whether or not they get a tattoo or body piercing? a) Yes b) No 4) According to a Vault.com survey, 85% of people believe that tattoos and body piercings impede ones chances of finding a job. Do you agree? a) Yes b) No 5) Joe works at a law firm and recently got a tattoo on his right forearm. Suddenly, no one would go to lunch with him. Do you believe coworkers and peers discriminate towards a person with a tattoo? a) Yes b) No 6) Mr. Shay came to class one day with a tongue piercing and ear gauges. His math team went to their competition a week later and placed 3rd (last year they placed 1st). Do you think his piercings affected his team's performance? a) Yes b) No 7) In a survey, over 42 percent of managers said their opinion of someone would be lowered by that person's visible body art. Do you believe that in a professional setting, a person should conceal their tattoos? a) Yes b) No 8) Mr. Köhn decided to leave Canyon Crest Academy. During his job interview at Geico, he decided not to remove his piercings and was declined the position. Do you believe that in a professional setting, a person should conceal their body piercings? a) Yes b) No Why Unbiased Questions 1-3? • We needed to ask these questions because they are all potential confounding variables. • Questions #1 and #2: It has been shown that a person’s age and gender influence their attitudes about tattoos and piercings. • Question #3: Obviously someone with piercings and/or tattoos will have different feelings towards piercings and/or tattoos than people without piercings and/or tattoos. • Because we are trying to generalize our results to all high school students, we needed to understand the distribution in our study population of these potential confounding variables. It is important to control for these factors that could influence their response. Biased Question #1 In a 1999 study by researchers from Emory University and Howard University, it was found that more than 80 percent of the 160 women surveyed were pierced but less than 20 percent were tattooed. Do you believe females are less likely to get tattoos than males? a) Yes b) No Biased Question #1 60 50 Percent The results: n = 37 15 no ==> 15/37 ==> 40.54% 22 yes ==> 22/37 ==> 59.46% 70 40 30 20 10 0 No Yes Answer For this question, we expected many more students to answer “yes” because of the bias in the question. Unbiased Question #1 What is your gender? a) Male Gender Female Male Frequency 17 19 Percentages 47.2% 52.8% Gender 47% 53% b) Female Female Male Bias: There are a few more males in the sample than there are females. This could change the data because females are slightly underrepresented compared to males. Biased Question #2 Many states require that a person getting a tattoo or piercing, have to be at least 18. But, some states do allow minors (17 or less) to be tattooed or pierced with parental consent. Do you wish you lived in one of these states? a) Yes b) No The Results: Answer No Yes Don’t Care Frequency 67% 30% 3% Biased Question #2 3% 30% No Yes Don't Care 67% Unbiased Question #2 What is your age? _____ Age 13 14 15 16 17 18 19 Frequency 1 27 6 1 0 0 1 Percentages 2.8% 75% 16.7% 2.8% 0% 0% 2.8% Age Distribution Values: Mean = 14.3333 Median and Mode = 14.0 Standard Deviation = 0.95618 Variance = 0.91429 Thirteen Years Old Fourteen Years Old Fifteen Years Old Sixeen Years Old Seventeen Years Old Eighteen Years Old Nineteen Years Old Unbiased Question #2: Bias Unbiased Question #3 Do you have any of the following? **Earrings do not count as body piercings FOR FEMALES ** a) Body Piercing(s) b) Tattoo(s) c) Neither d) Both Options Piercing(s) Tattoo(s) Neither Both Frequency 2 0 33 1 0% 91.7% 2.8% Percentages 5.6% Body Piercing/Tattoo Distribution Body Piercing(s) Tattoo(s) Neither Both Unbiased Question #3: Bias Body Piercing/Tattoo Distribution Body Piercing(s) Tattoo(s) Neither Both Religion: #4 Unbiased Religious Beliefs 0.35 %Occurrence 0.3 0.25 0.2 0.15 0.1 0.05 0 Christian Catholic Jewish Series 1 0.3333333 0.3055556 0.1388889 Muslim 0 Agnostic Buddhist 0.1944444 0.0277778 Religion: #3 Biased • Certain religions, for example Judaism, prohibit tattoos and body piercings. Do you think a person's religion should influence whether or not they get a tattoo or body piercing? Religious Confidence Interval • P: Our parameter is the proportion of high school students who are either Jewish or Muslim (p-hat) • A: SRS-randomization, Normality-n=36>30 by CLT, Independence-N>10n=360 • T: • C: We are 95% certain that the population proportion of Jewish or Muslim high school students is between 2.59% and 25.19% • Why this population? Religion Religion: #3 Biased • We extrapolate the data from the unbiased survey to estimate similar proportions for the biased data. • We know that, generally, Muslims and Jews are prohibited by their religion to have tattoos or body piercings. • The number who said a person’s religion should be influential (38%) was higher than the upper limit of the confidence interval for the population of Jews and Muslims. Biased Question #4 The Results: 6/37 no 16.22% 31/37 yes 83.78% Percent According to a Vault.com survey, 85% of people believe that tattoos and body piercings impede ones chances of finding a job. Do you agree? a) Yes b) No Biased Question #4 90 80 70 60 50 40 30 20 10 0 Yes No Answer Our results very closely support the national statistic of 85% because 83.78% of our sample answered yes. We expected this result because of the wording bias. Unbiased Question #5 5) How strongly do you think tattoos affect a person's ability to obtain a job? a) Not affected at all b) A little bit affected c) Moderately affected d) Definitely won't be hired The Results: 19/36 “A little bit” 52.78% 5/36 “Not affected” 13.89% 12/36 “Moderately” 33.33% ** In order to compare these unbiased questions to #4 biased question, we are assigning answers (a) and (b) on questions #5 and #6 to the answer “no” on the biased question and answers (c) and (d) to answer “yes” on the biased question. Unbiased Question #5 Unbiased Question #5: Reformatted 80 50 70 40 60 Percent Percent 60 30 20 50 40 30 20 10 10 0 Not Affected Little Bit Moderately Answer Definitely Won't 0 No Yes Answer Unbiased Question #6 6) How strongly do you think body piercings affect a person's ability to obtain a job? a) Not affected at all b) A little bit affected c) Moderately affected d) Definitely won't be hired ** In order to compare these unbiased questions to #4 biased question, we are assigning answers (a) The Results: 8/36 “Not affected” 22.22% and (b) on questions #5 and #6 to the answer “no” on the biased question and answers (c) and (d) to 21/36 “Little bit” 58.33% 6/36 “Moderately” 16.67% answer “yes” on the biased question. 1/36 “Definitely” 2.78% Unbiased Question #6 Unbiased Question #6: Reformatted 70 60 Percent Percent 50 40 30 20 10 0 Not Affected Little Bit Moderately Answer Definitely 90 80 70 60 50 40 30 20 10 0 No Yes Answer Comparing Biased #4 to Unbiased #5 and #6 Percent Comparing #4 Biased to #5 and #6 Unbiased 90 80 70 60 50 40 30 20 10 0 Biased #4 Unbiased #5 Unbiased #6 No Yes Answer Our wording bias for #4 dramatically affected the results, compared to the unbiased questions. Between piercings and tattoos, less people thought that piercings impeded one’s chance of getting a job. Discrimination by Peers (Tattoos) Biased • 5) Joe works at a law firm and recently got a tattoo on his right forearm. Suddenly, no one would go to lunch with him. Do you believe coworkers and peers discriminate towards a person with a tattoo? Chart Title % Occurrence Unbiased • 7) Do you believe that a person's co-workers or peers would view them any differently if that person got a tattoo? 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 Yes No Unbiased 0.5 0.5 Biased 0.6756756760.324324324 Discrimination by Peers (Tattoos) • There were more “yes’s” in the responses to the biased survey as compared to the unbiased survey, which is what we expected. Unbiased Question #8 Do you believe that a person's coworkers or peers would view them any differently if that person got a body piercing? a) Yes b) No The results: n = 36 students 1 maybe ==> 1/36 ==> 2.77% 20 no ==> 20/36 ==> 55.56% 15 yes ==> 15/36 ==> 41.67% Biased Question #6 Mr. Shay came to class one day with a tongue piercing and ear gauges. His math team went to their competition a week later and placed 3rd (last year they placed 1st). Do you think his piercings affected the team's view of Mr. Shay and their performance? a) Yes b) No The results: n = 37 students 31 no ==> 31/37 ==> 83.78% 7 yes ==> 7/37 ==> 18.92% Unbiased Question #8 Unbiased Question #8 60 40 Biased Question #6 30 20 10 0 Yes No Maybe Biased Question #6 Answer Percent Percent 50 90 80 70 60 50 40 30 20 10 0 Yes No Answer Comparing #6 Biased to #8 Unbiased 90 70 60 Percent Personalizing the question, for example using a popular teacher’s name such as Mr. Shay, biases the question because students want to agree with that teacher’s behavior. This is why we see such a large number of “no” responses in the biased question group. 80 50 40 Unbiased 30 Biased 20 10 0 Maybe No Answer Yes Gender Bias in Unbiased Question #8 Do you believe that a person's co-workers or peers would view them any differently if that person got a body piercing? a) Yes b) No Female Male Yes 41% 47% No 59% 53% Analysis of this question by gender did not show evidence of a confounding effect of gender in this population. Because the majority of females and the majority of males both answered “no” to question #8, there is not gender bias in this population. Gender will not bias our results and it is not necessary to adjust our analyses by gender. Age Bias in Unbiased Question #8 Do you believe that a person's co-workers or peers would view them any differently if that person got a body piercing? a) Yes b) No ≤ 14 years 15 years ≥ 16 years Yes 50% 33% 0% No 50% 64% 100% As age increases, the proportion of “no” responses to question #8 increases from 50% in the ≤ 14 year old group to 100% in the ≥16 age group. Because age is a confounding variable in this population, it would be necessary to adjust for age in all analyses. Existence of a Current Tattoo/ Body Piercings Bias in Unbiased Question #8 Do you believe that a person's co-workers or peers would view them any differently if that person got a body piercing? a) Yes b) No Tattoo/Piercing* No Tattoo/Piercing Yes 33% 43% No 67% 57% *Excluding ear piercings for females There does not appear to be evidence of confounding by current tattoos/body piercings because the majority of each groups answered “no” for this question. So it is not necessary to adjust these analyses by existence of a current tattoo/ piercing. Concealing in a Professional Setting (Tattoos) Unbiased • 9) Do you believe that in a professional setting, a person should conceal their tattoos? % Occurrence Biased • 7) In a survey, over 42 percent of managers said their opinion of someone would be lowered by that person's visible body art. Do you believe that in a professional setting, a person should conceal their tattoos? Comparing Results 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 Yes No Unbiased0.8055555560.194444444 Biased 0.8108108110.189189189 Concealing in a Professional Setting (Tattoos) • Despite the wording bias for this question on the biased survey, there were about the same number of people who answered yes for both surveys. • Because of this, we assume around 81% of high school students believe a person should conceal tattoos, which is much higher than the 42% of managers in the national survey. Unbiased Question #10 Do you believe that in a professional setting, a person should conceal their body piercings? a) Yes b) No n = 36 students The results: 1 maybe ==> 1/36 ==> 2.77% 16 no ==> 16/36 ==> 44.44% 21 yes ==> 21/36 ==> 58.33% Biased Question #8 Mr. Köhn decided to leave Canyon Crest Academy. During his job interview at Geico, he decided not to remove his piercings and was declined the position. Do you believe that in a professional setting, a person should conceal their body piercings? a) Yes b) No n = 37 students The results: 14/37 answered no ==> 37.84% 24/37 answered yes ==> 64.86% Unbiased Question #10 Unbiased Question #10 70 60 40 30 Biased Question #8 20 10 0 Maybe No Yes Answer Biased Question #8 70 60 50 Percent Percent 50 40 30 20 10 0 No Yes Answer Comparing #8 Biased to #10 Unbiased Comparing #8 Biased to #10 Unbiased 70 60 Percent 50 40 30 Unbiased 20 Biased 10 0 Yes No Answer Maybe The difference between the unbiased and biased results do not appear to be large. It is possible that the unexpected number of “no’s” was a result of students identifying and supporting Mr. Köhn. Bias We Encountered • Undercoverage: A problem we discovered was that, of the two classes we surveyed, one was mostly made up of 9th graders, while the other was mostly made up of 11th graders. • Nonresponse: Another problem we encountered was that some people “chose” an answer that was not one of our choices, or did not answer the survey at all. • Response bias: Some students might have not told the truth, especially since one class was aware that they had the biased survey. For example, a student in Mr. Main’s biology class said that she was 19, which is unlikely. Conclusion • For the majority of the survey questions that overlapped on biased and unbiased surveys, the bias we introduced affected the results in favor of the statistics and anecdotes we provided. • While conducting our surveys, Ms. Aguilar’s class realized that they had a biased survey, which might have affected our answers. • Confidence Intervals are wide because our sample size is small. Most likely as the sample sizes increase, the Confidence Intervals would narrow. • We learned how wording bias can affect answers, and that it is hard to exclude all other forms of bias. Something unexpected we discovered about body piercings and tattoos was that some high school students actually did have tattoos. • If we were to repeat this survey, we would exclude all single-grade classes from our randomization so we would have more variety. Any Questions?
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