, PLEASE USE THIS DOCUMENT AS A GUIDE TO ANSWER YOUR ASSIGNMENT
QUESTION 1
1. Read the statements/questions carefully before you answer.
1.1. Why is a sample often used instead of the entire population?
A sample is often used instead of the entire population because studying everyone is usually too
costly, time-consuming, and impractical. Sampling allows researchers to make reliable inferences
about the population through statistical methods. Random sampling ensures that the sample is
representative. Research shows that sample averages closely match population averages. Thus, using
a sample is an efficient and effective way to gather meaningful data.
1.2. What is the purpose of inferential statistics?
The purpose of inferential statistics is to draw conclusions about a larger population based on data
from a sample. It helps researchers estimate population parameters, test hypotheses, and make
decisions using sample data. Inferential methods also determine how likely sample results reflect
true population values. This allows researchers to generalise findings accurately. Overall, it supports
evidence-based reasoning and decision-making.
1.3. A _____ test is typically used to test for association between two categorical variables.
A chi-square test is typically used to test for association between two categorical variables.
1.4. A _____ hypothesis is a negative statement about a possible difference between the variables
that you want to study.
A null hypothesis is a negative statement about a possible difference between the variables that you
want to study.
1.5. Which of the following activities describes "sampling"?
A) Displaying data visually.
B) Ensuring every member of a group is included in a study.
C) Identifying and grouping a part of the whole population.
D) Making certain a sample is not representative of a population.
QUESTION 1
1. Read the statements/questions carefully before you answer.
1.1. Why is a sample often used instead of the entire population?
A sample is often used instead of the entire population because studying everyone is usually too
costly, time-consuming, and impractical. Sampling allows researchers to make reliable inferences
about the population through statistical methods. Random sampling ensures that the sample is
representative. Research shows that sample averages closely match population averages. Thus, using
a sample is an efficient and effective way to gather meaningful data.
1.2. What is the purpose of inferential statistics?
The purpose of inferential statistics is to draw conclusions about a larger population based on data
from a sample. It helps researchers estimate population parameters, test hypotheses, and make
decisions using sample data. Inferential methods also determine how likely sample results reflect
true population values. This allows researchers to generalise findings accurately. Overall, it supports
evidence-based reasoning and decision-making.
1.3. A _____ test is typically used to test for association between two categorical variables.
A chi-square test is typically used to test for association between two categorical variables.
1.4. A _____ hypothesis is a negative statement about a possible difference between the variables
that you want to study.
A null hypothesis is a negative statement about a possible difference between the variables that you
want to study.
1.5. Which of the following activities describes "sampling"?
A) Displaying data visually.
B) Ensuring every member of a group is included in a study.
C) Identifying and grouping a part of the whole population.
D) Making certain a sample is not representative of a population.
