AP Statistics
In this observational study, the topic question is "Is there a difference between the proportion of SOJO lower classmen who have accepted exploitative conditions and the proportion of SOJO upperclassmen who have accepted exploitative conditions in return for resources, like food or money?" The background surrounding this question is that those who have little to no political or economic resources have been known to be more susceptible to accept exploitative conditions. Many SOJO students have jobs or other methods of obtaining food, money, or shelter. It would be interesting to know if these students’ access to resources (or lack thereof) affects whether or not they accept different types of abuse. This observational study can then be used in order to create experimental studies that might lead to finding a solution if politically oppressed students are more likely to accept exploitative conditions. The Null Hypothesis is that there is no association between SOJO lower classmen and upper classmen and the likelihood that they accept exploitative conditions in return for resources. The Alternative Hypothesis is that there is a difference between SOJO lower classmen and upper classmen and the likelihood that they accept exploitative conditions in return for resources.
The explanatory variables are SOJO lower classmen (freshmen and sophomores) and SOJO upper classmen (juniors and seniors) and are categorical. The response variable is the likelihood that the subjects accept exploitative conditions and is also categorical. The survey will consist of five scenarios, two of which do
not depict exploitative conditions and three of which do consist of different types of exploitative conditions. Since the responses of the survey will end up being divided into "exploitative" and "not exploitative" and the differences in answers will be compared, a 2-sample z-test with a significance level of 0.05 will be conducted.
This study will be conducted through a stratified random sample and analyzed using a 2-sample z-test. The population of SOJO students will be divided into
two strata: lower classmen and upper classmen. All the lower classmen will be assigned a number from 000-168. Using the Ti-inspire, 16 subjects will be chosen
through the random digits table. All the upper classmen will be assigned numbers between 000-183. Again, the calculator will also randomly pick 18 subjects. The
subject will have 5 choices in the survey that are split between "exploitative" and "not exploitative" conditions, while the subjects will not be aware of the differentiation. The subjects will just be asked to pick the scenario that they identify the most with based on their actual experiences. Here are the scenarios:
*Work is defined as any act in which there is a compensation of any type, sometimes in the form of food, money, or shelter.
1. I let adults approach me in a sexually inappropriate way in return for food,
money, shelter, or other resources even though I do not want to.
2. I feel safe, happy, and comfortable with my work.
3. I receive equal pay as all the other workers.
4. My boss tells me to work more hours without pay, and I agree to do the
work because I need the work.
5. I am told to work in unsafe conditions, and I comply because I need the
resources I get from that work (money, food, etc.).
These scenarios include personal experiences that some students might not be comfortable sharing. In order to reduce the discomfort and let the subject
answer honestly, I will approach the students by explaining why this study is being done. Furthermore, the students will be told not to write their names down
and once they have finished the survey, they are to fold up the sheet of paper and place it into a box so that I will not even know who responded in what way.
The random condition is met through the use of the random digits table on the calculator in order to determine the 16 lower classmen and the 18 upper classmen that are going to be surveyed. It is not determined whether or not the Normal condition is met for this study. The Normal condition requires np>10 and
n(1-p)>10 for all samples. Since there is no proportion (p) we can use for now, the Normal condition for both strata will be checked after the study has been conducted. Furthermore, the independence condition is also not met based on SOJO populations, but it is met by having the LVLHS campus as the population. In
this case, 16*10=160 is not less than 10% of the lower classmen population at SOJO. Likewise, 180*10=180 is not less than 10% of the upper classmen population at SOJO. However, 160 is less than 10% of the lower classmen on the LVLHS campus, and 180 is also less than 10% of the upper classmen population on campus. Since all the campus students live in the Little Village and North Lawndale communities, the students have similar experiences, which might lead to the SOJO results actually reflecting the whole campus. However, some differences might arise based on the focus of each school (i.e. activism, art, languages, and math). Since SOJO focuses on more activism than the other schools, SOJO students might experience less exploitation than students in Infinity, MAS, or World Language because they might be more aware about different exploitation methods.
The explanatory variables are SOJO lower classmen (freshmen and sophomores) and SOJO upper classmen (juniors and seniors) and are categorical. The response variable is the likelihood that the subjects accept exploitative conditions and is also categorical. The survey will consist of five scenarios, two of which do
not depict exploitative conditions and three of which do consist of different types of exploitative conditions. Since the responses of the survey will end up being divided into "exploitative" and "not exploitative" and the differences in answers will be compared, a 2-sample z-test with a significance level of 0.05 will be conducted.
This study will be conducted through a stratified random sample and analyzed using a 2-sample z-test. The population of SOJO students will be divided into
two strata: lower classmen and upper classmen. All the lower classmen will be assigned a number from 000-168. Using the Ti-inspire, 16 subjects will be chosen
through the random digits table. All the upper classmen will be assigned numbers between 000-183. Again, the calculator will also randomly pick 18 subjects. The
subject will have 5 choices in the survey that are split between "exploitative" and "not exploitative" conditions, while the subjects will not be aware of the differentiation. The subjects will just be asked to pick the scenario that they identify the most with based on their actual experiences. Here are the scenarios:
*Work is defined as any act in which there is a compensation of any type, sometimes in the form of food, money, or shelter.
1. I let adults approach me in a sexually inappropriate way in return for food,
money, shelter, or other resources even though I do not want to.
2. I feel safe, happy, and comfortable with my work.
3. I receive equal pay as all the other workers.
4. My boss tells me to work more hours without pay, and I agree to do the
work because I need the work.
5. I am told to work in unsafe conditions, and I comply because I need the
resources I get from that work (money, food, etc.).
These scenarios include personal experiences that some students might not be comfortable sharing. In order to reduce the discomfort and let the subject
answer honestly, I will approach the students by explaining why this study is being done. Furthermore, the students will be told not to write their names down
and once they have finished the survey, they are to fold up the sheet of paper and place it into a box so that I will not even know who responded in what way.
The random condition is met through the use of the random digits table on the calculator in order to determine the 16 lower classmen and the 18 upper classmen that are going to be surveyed. It is not determined whether or not the Normal condition is met for this study. The Normal condition requires np>10 and
n(1-p)>10 for all samples. Since there is no proportion (p) we can use for now, the Normal condition for both strata will be checked after the study has been conducted. Furthermore, the independence condition is also not met based on SOJO populations, but it is met by having the LVLHS campus as the population. In
this case, 16*10=160 is not less than 10% of the lower classmen population at SOJO. Likewise, 180*10=180 is not less than 10% of the upper classmen population at SOJO. However, 160 is less than 10% of the lower classmen on the LVLHS campus, and 180 is also less than 10% of the upper classmen population on campus. Since all the campus students live in the Little Village and North Lawndale communities, the students have similar experiences, which might lead to the SOJO results actually reflecting the whole campus. However, some differences might arise based on the focus of each school (i.e. activism, art, languages, and math). Since SOJO focuses on more activism than the other schools, SOJO students might experience less exploitation than students in Infinity, MAS, or World Language because they might be more aware about different exploitation methods.