PYC3704
ASSIGNMENT 2 SEMESTER 2 2025
UNIQUE NO. 733362
DUE DATE: 19 NOVEMBER 2025
, lOMoARcPSD|21997160
Dear Student
This study letter contains answers and explanations of the correct options for each question in Assignment
02.
The questions in the two assignments and those at the end of each topic in the Study Guide for PYC3704
should be used as part of your preparation for the exam. We suggest that you try to do the questions from
the Guide and the assignments without looking up the answers. In this way you will see which questions
you can answer, and which ones you cannot answer. This will help you to identify the difficult questions,
and force you to rethink the reasons for the answers. Pay special attention to the explanations we provide,
since this will give you an indication of the weak spots in your own understanding of the material in the
Study Guide. Do not attempt to memorise the questions and their answers. Rather try to understand the
explanations for the correct option in each question. If you did not receive pass marks for the assignments,
you will have to work much harder if you want to pass the exam.
Feedback to Assignment 02 for Semester 2
ASSIGNMENT 02 FEEDBACK
• This is a multiple choice assignment. Choose the one alternative that best completes the
statement or answers the question and fill in the appropriate number on the mark reading sheet.
• The assignment is compulsory in the second semester and will count 10% of your exam mark.
However, if you obtain less than 40% for the exam, this assignment will not contribute to your
exam mark.
• No extension of the closing date can be given as the answers will be provided with feedback
shortly after the closing date.
• Remember to put the correct unique number on the answer sheet if you submit the assignment by
post.
Second semester Closing date: 19TH November 2025 Unique number: 733362
Question 1
In statistical hypothesis testing, the - - - - - is used to determine the - - - - - which is to be compared
to the chosen - - - - - to make an inference regarding the status of the hypotheses.
1. test statistic; p-value; level of significance
2. p-value; level of significance; test statistic
3. p-value; test statistic; level of significance
4. test statistic; level of significance; p-value
Answer: The correct answer is option 1.
To test a hypothesis, you first calculate an appropriate test statistic, and this is then used to
determine the p-value (using statistical tables or a computer program). After that, this p-value is
compared with a level of significance (α), chosen by the researcher, which represents the
maximum risk which the researcher is willing to take that the observed effect is due to chance
and not a reflection of an actual relationship between variables in the population.
, lOMoARcPSD|21997160
PYC3704/202
Question 2
Two samples may be regarded as dependent when - - - - - -.
1. each measurement in one sample is correlated with a measurement in the other sample
2. they were drawn from the same population
3. there is a systematic relationship between the measurements in one sample and the other
4. they are both totally random
Answer: Option 3 is correct and is a definition of dependent samples, where the
measurements form matched pairs.
Option 1 is not really valid as a definition of dependence. Correlations are usually calculated from
two measurements (that is, two variables) in the same sample, not from different samples. If you
find a significant relationship, it implies that one type of measurement may be dependent on the
other type of measurement, but it is not really a dependency between two separate samples of
data. It is possible to correlate measurements from two samples if they are paired off in matched
pairs of some kind, and finding a significant correlation would then probably imply dependence of
some kind. This could imply that the samples were discovered to be dependent, but it is not how
‘dependent samples’ are defined.
Being drawn from the same population does not imply dependence, so Option 2 is not correct.
Randomness of the samples is not relevant, and is in any case likely to imply a lack of
dependence, so Option 4 is also not correct.
ASSIGNMENT 2 SEMESTER 2 2025
UNIQUE NO. 733362
DUE DATE: 19 NOVEMBER 2025
, lOMoARcPSD|21997160
Dear Student
This study letter contains answers and explanations of the correct options for each question in Assignment
02.
The questions in the two assignments and those at the end of each topic in the Study Guide for PYC3704
should be used as part of your preparation for the exam. We suggest that you try to do the questions from
the Guide and the assignments without looking up the answers. In this way you will see which questions
you can answer, and which ones you cannot answer. This will help you to identify the difficult questions,
and force you to rethink the reasons for the answers. Pay special attention to the explanations we provide,
since this will give you an indication of the weak spots in your own understanding of the material in the
Study Guide. Do not attempt to memorise the questions and their answers. Rather try to understand the
explanations for the correct option in each question. If you did not receive pass marks for the assignments,
you will have to work much harder if you want to pass the exam.
Feedback to Assignment 02 for Semester 2
ASSIGNMENT 02 FEEDBACK
• This is a multiple choice assignment. Choose the one alternative that best completes the
statement or answers the question and fill in the appropriate number on the mark reading sheet.
• The assignment is compulsory in the second semester and will count 10% of your exam mark.
However, if you obtain less than 40% for the exam, this assignment will not contribute to your
exam mark.
• No extension of the closing date can be given as the answers will be provided with feedback
shortly after the closing date.
• Remember to put the correct unique number on the answer sheet if you submit the assignment by
post.
Second semester Closing date: 19TH November 2025 Unique number: 733362
Question 1
In statistical hypothesis testing, the - - - - - is used to determine the - - - - - which is to be compared
to the chosen - - - - - to make an inference regarding the status of the hypotheses.
1. test statistic; p-value; level of significance
2. p-value; level of significance; test statistic
3. p-value; test statistic; level of significance
4. test statistic; level of significance; p-value
Answer: The correct answer is option 1.
To test a hypothesis, you first calculate an appropriate test statistic, and this is then used to
determine the p-value (using statistical tables or a computer program). After that, this p-value is
compared with a level of significance (α), chosen by the researcher, which represents the
maximum risk which the researcher is willing to take that the observed effect is due to chance
and not a reflection of an actual relationship between variables in the population.
, lOMoARcPSD|21997160
PYC3704/202
Question 2
Two samples may be regarded as dependent when - - - - - -.
1. each measurement in one sample is correlated with a measurement in the other sample
2. they were drawn from the same population
3. there is a systematic relationship between the measurements in one sample and the other
4. they are both totally random
Answer: Option 3 is correct and is a definition of dependent samples, where the
measurements form matched pairs.
Option 1 is not really valid as a definition of dependence. Correlations are usually calculated from
two measurements (that is, two variables) in the same sample, not from different samples. If you
find a significant relationship, it implies that one type of measurement may be dependent on the
other type of measurement, but it is not really a dependency between two separate samples of
data. It is possible to correlate measurements from two samples if they are paired off in matched
pairs of some kind, and finding a significant correlation would then probably imply dependence of
some kind. This could imply that the samples were discovered to be dependent, but it is not how
‘dependent samples’ are defined.
Being drawn from the same population does not imply dependence, so Option 2 is not correct.
Randomness of the samples is not relevant, and is in any case likely to imply a lack of
dependence, so Option 4 is also not correct.
