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This study investigates the number of high school students and staff at VVS who enjoy Country music compared to the national average. The sample includes various demographics from the school, and statistical calculations reveal significant data. The research highlights biases, modifications, and conclusions drawn from the study. 8 Relevant
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How Country is VVS? Kerry Miley, Collin Laguzza, McKenna Novak, Haley Surprenant
Purpose We investigated the number of high school students and staff who enjoy listening to Country music. We thought that this would be an interesting comparison due to the country setting of our high school. The population of our study will be Americans nationwide. Our sample will be various students and staff at VVS.
We randomly sampled high school students and staff of different genders, ages and whether they live in Vernon, Verona, or Sherrill. We used a random survey to avoid any bias by masking the variable of whether or not the sampler enjoys Country music. We sampled 50 random students and staff from each lunch period, having a grand total of 150 samples. We compared the number of students and staff who enjoy Country music to the national average of Americans who enjoy Country music.
THANK YOU! Check all that you like: Cats Dogs Shrimp Poppers Angry Birds Country music Metal music Bowling Color Green Color Blue Video Games Jessica Alba Bacon Glow Sticks Sweat pants Winter Take our Survey!!!!!! Grade: 9th 10th 11th 12th Staff Gender: Male Female Live: Vernon Verona Sherrill
Calculations Confidence level: 90% Level of significance: 5% p= 42% q= 58% =51.3% = 48.7% n= 150 people r= 77 people E=zc√(pq/n) E=1.645√((.42)(.58)/150) E=0.0663 So, p=42% with a 6.63% margin of error based on a 90% confidence level. H0: p= .42 H1: p> .42 Central Limit Theorem: np= 150(.42)=63 nq= 150(.58)=87 = r/n = 77/150 = .513 Z=( - p)/√(pq/n) = (.513-.412)/√((.42)(.58)/150) = 2.31 This data is right-tailed and has a normal distribution. P(z>2.31) 1-0.9896 = 0.0104 0.0104 ≤ 0.05, so we reject H0, and our hypothesis was correct.
Margin of Error Calculations 70% confidence level E=zc√(pq/n) Male: E = 1.04√((.47)(.53)/78) Margin of Error = 5.9% Female: E = 1.04√((.56)(.44)/72) Margin of Error = 6.1% 9th grade: E = 1.04√((.36)(.64)/72) Margin of Error = 8.7% 10th grade: E= 1.04√((.43)(.57)/23) Margin of Error = 10.7% 11th grade: E= 1.04√((.54)(.46)/41) Margin of Error = 8.1% 12th grade: E = 1.04√((.68)(.32)/37) Margin of Error = 8.0% Staff: E = 1.04√((.55)(.45)/11) Margin of Error = 15.6% Vernon: E = 1.04√((.56)(.44)/45) Margin of Error = 7.7% Verona: E = 1.04√((.57)(.43)/56) Margin of Error = 6.9% Sherrill E = 1.04√((.41)(.59)/49) Margin of Error = 7.3%
National Average of Americans that enjoy Country Music! VVS Students and Staff that enjoy Country Music! 42% Using a Confidence Level of 90% Margin of Error of 6.63%
Male vs. Female Male Students and Staff Female Students and Staff 52.6% Margin of Error of 6.1% Margin of Error of 5.9% Using a Confidence Level of 70%
Location 44.4% 42.9% 57.1% 55.6% Margin of Error of 7.7% Margin of Error of 6.9% 40.8% Using a Confidence Level of 70% Margin of Error of 7.3%
36.4% 63.6% Margin of Error of 8.7% Margin of Error of 8.1% Margin of Error of 10.7% 45.4% 54.6% Using a Confidence Level of 70% Margin of Error of 8.0% Margin of Error of 15.6%
Modifications Although our statistical study went fairly smooth and gave us favorable results, there are a couple things that we have taken note of to change if we were to do it again. First of all, we would make a few changes to our survey so that it is more clear and specific because there were a couple misunderstandings among participants, causing a few surveys to be removed from our data. More importantly, though, we would try to obtain a larger sample to test. Our results would be even more accurate if we were able to survey a larger sample; the closer we get to the entire VVS population, the less error in results.
Biases In addition to our modifications, we encountered several biases while completing our project. We eliminated the potential for swayed results by hiding the variable we were testing in the survey. However, a main bias we did encounter was the wide variety of students and staff tested. For this reason, we included a demographics portion of our survey. By distinguishing the gender, age, and place of residence of participants, we were able to discover noticeable differences in which students said they enjoy Country music. For example, more girls liked Country music than boys, and students living in Vernon and Verona enjoy Country music more than those living in Sherrill. These discrepancies served as a bias in our results because we did not ensure that a certain number of each gender, grade level, and town was represented. If a certain type of one student/staff member was surveyed more frequently than others, our results may have been influenced.
Conclusion/Evaluation Our statistical study turned out as we had expected. Our data and math proved that our hypothesis was, in fact, correct: the percentage of VVS students and staff that enjoy Country music is greater than the national percentage of all Americans who enjoy Country music.