Elite Academic Institute 068 053 8213 /0717 513 144/ 061 262 1185
ademic In
Ac sti
te
tu
Eli
te
W
er
de
a
h
eG M
raduates Ar e
Educating the world for a better change
,Elite Academic Institute 068 053 8213 /0717 513 144/ 061 262 1185
WARNING: PLEASE NOTE THAT PLAGIARISM IS A SERIOUS ACADEMIC
OFFENSE, therefore, the documents provided here including past assignments, tests
and notes are intended SOLELY for educational purposes and as a guide to help
students understand academic concepts and improve their writing skills. These
materials should not be submitted as final work, as doing so may constitute academic
dishonesty. Students are encouraged to use them as reference points, develop their
own understanding and produce original work that reflects their knowledge and critical
thinking. Students are also encouraged to regenerate their own (personalized)
solutions paying particular attention to module contents as prescribed by module
facilitators, lecturers and supervisors. If this document is plagiarized by the users and
fails, ELITE ACADEMIC INSTITUTE should not be rendered accountable since the
contents in this document only give learners a kick-start on what is expected of them
from their areas of specialty.
CAUTION: STUDENTS ARE NOT MANDATED TO USE ALL THE INFORMATION IN
THIS DOCUMENT IN WRITING THEIR ASSIGNMENT
Educating the world for a better change
,Elite Academic Institute 068 053 8213 /0717 513 144/ 061 262 1185
Table of Contents
QUESTION 1 ............................................................................................................. 6
1.1 True or False Statements [4 marks].................................................................. 6
1.1(a) For this module, the level of significance is always given as 0,10. ........... 6
1.1(b) A Type II error occurs when the null hypothesis is rejected although it is in
fact true. .................................................................................................................... 6
1.1(c) A chi-square 𝝌𝟐test statistic can never be negative................................... 7
1.1(d) In a two-tailed hypothesis test, the critical (rejection) region is located in both
tails of the sampling distribution. ........................................................................... 7
1.2 Directional and Non-directional Alternative Hypotheses [8 marks]............... 8
1.2(a) There is a difference in job satisfaction levels between employees who work
remotely and those who work on-site. ................................................................... 8
1.2(b) Employees who receive regular performance feedback report higher job
satisfaction than those who do not receive regular feedback. ............................ 8
1.2(c) IOP2601 students who complete all formative assessment activities achieve
higher final marks than those who do not complete them. .................................. 9
1.2(d) The average work engagement score of Group A does not equal the average
work engagement score of Group B....................................................................... 9
QUESTION 2 ........................................................................................................... 10
Comparison of Work Engagement Between Remote and On-site Employees [15
marks] ..................................................................................................................... 10
2.1 Formulate the null hypothesis 𝑯𝟎[2 marks] .................................................. 10
Educating the world for a better change
, Elite Academic Institute 068 053 8213 /0717 513 144/ 061 262 1185
2.2 Formulate the alternative hypothesis 𝑯𝟏[2 marks] ....................................... 11
2.3 Is the hypothesis test one-tailed or two-tailed? [1 mark] ............................. 11
2.4 Appropriate statistical test and calculation of the test statistic [3 marks] .. 12
Appropriate statistical test .................................................................................... 12
2.5 Determine the degrees of freedom [2 marks] ................................................ 14
2.6 Determine the critical value at 𝜶 = 𝟎, 𝟎𝟓[1 mark] ........................................... 15
2.7 Interpret the results in terms of rejection or non-rejection of 𝑯𝟎[2 marks] 16
2.8 Interpret the result in plain language [2 marks]............................................. 16
QUESTION 3 [13 MARKS] ...................................................................................... 17
3.1 Appropriate test statistic and calculation [8 marks] ..................................... 17
3.2 Determine the critical value at 𝜶 = 𝟎, 𝟎𝟏[1 mark] ........................................... 22
3.3 Do you reject the null hypothesis? Justify. [2 marks] .................................. 22
3.4 Interpretation in terms of the original problem [2 marks] ............................. 23
QUESTION 4 [10 MARKS] ...................................................................................... 23
4.1 Contingency table with row totals, column totals and expected frequencies [4
marks] ..................................................................................................................... 24
4.2 Determine the degrees of freedom [1 mark] .................................................. 27
4.3 Determine the critical value at 𝜶 = 𝟎, 𝟎𝟓[1 mark] ........................................... 27
4.4 Interpretation of results ................................................................................... 28
Educating the world for a better change
ademic In
Ac sti
te
tu
Eli
te
W
er
de
a
h
eG M
raduates Ar e
Educating the world for a better change
,Elite Academic Institute 068 053 8213 /0717 513 144/ 061 262 1185
WARNING: PLEASE NOTE THAT PLAGIARISM IS A SERIOUS ACADEMIC
OFFENSE, therefore, the documents provided here including past assignments, tests
and notes are intended SOLELY for educational purposes and as a guide to help
students understand academic concepts and improve their writing skills. These
materials should not be submitted as final work, as doing so may constitute academic
dishonesty. Students are encouraged to use them as reference points, develop their
own understanding and produce original work that reflects their knowledge and critical
thinking. Students are also encouraged to regenerate their own (personalized)
solutions paying particular attention to module contents as prescribed by module
facilitators, lecturers and supervisors. If this document is plagiarized by the users and
fails, ELITE ACADEMIC INSTITUTE should not be rendered accountable since the
contents in this document only give learners a kick-start on what is expected of them
from their areas of specialty.
CAUTION: STUDENTS ARE NOT MANDATED TO USE ALL THE INFORMATION IN
THIS DOCUMENT IN WRITING THEIR ASSIGNMENT
Educating the world for a better change
,Elite Academic Institute 068 053 8213 /0717 513 144/ 061 262 1185
Table of Contents
QUESTION 1 ............................................................................................................. 6
1.1 True or False Statements [4 marks].................................................................. 6
1.1(a) For this module, the level of significance is always given as 0,10. ........... 6
1.1(b) A Type II error occurs when the null hypothesis is rejected although it is in
fact true. .................................................................................................................... 6
1.1(c) A chi-square 𝝌𝟐test statistic can never be negative................................... 7
1.1(d) In a two-tailed hypothesis test, the critical (rejection) region is located in both
tails of the sampling distribution. ........................................................................... 7
1.2 Directional and Non-directional Alternative Hypotheses [8 marks]............... 8
1.2(a) There is a difference in job satisfaction levels between employees who work
remotely and those who work on-site. ................................................................... 8
1.2(b) Employees who receive regular performance feedback report higher job
satisfaction than those who do not receive regular feedback. ............................ 8
1.2(c) IOP2601 students who complete all formative assessment activities achieve
higher final marks than those who do not complete them. .................................. 9
1.2(d) The average work engagement score of Group A does not equal the average
work engagement score of Group B....................................................................... 9
QUESTION 2 ........................................................................................................... 10
Comparison of Work Engagement Between Remote and On-site Employees [15
marks] ..................................................................................................................... 10
2.1 Formulate the null hypothesis 𝑯𝟎[2 marks] .................................................. 10
Educating the world for a better change
, Elite Academic Institute 068 053 8213 /0717 513 144/ 061 262 1185
2.2 Formulate the alternative hypothesis 𝑯𝟏[2 marks] ....................................... 11
2.3 Is the hypothesis test one-tailed or two-tailed? [1 mark] ............................. 11
2.4 Appropriate statistical test and calculation of the test statistic [3 marks] .. 12
Appropriate statistical test .................................................................................... 12
2.5 Determine the degrees of freedom [2 marks] ................................................ 14
2.6 Determine the critical value at 𝜶 = 𝟎, 𝟎𝟓[1 mark] ........................................... 15
2.7 Interpret the results in terms of rejection or non-rejection of 𝑯𝟎[2 marks] 16
2.8 Interpret the result in plain language [2 marks]............................................. 16
QUESTION 3 [13 MARKS] ...................................................................................... 17
3.1 Appropriate test statistic and calculation [8 marks] ..................................... 17
3.2 Determine the critical value at 𝜶 = 𝟎, 𝟎𝟏[1 mark] ........................................... 22
3.3 Do you reject the null hypothesis? Justify. [2 marks] .................................. 22
3.4 Interpretation in terms of the original problem [2 marks] ............................. 23
QUESTION 4 [10 MARKS] ...................................................................................... 23
4.1 Contingency table with row totals, column totals and expected frequencies [4
marks] ..................................................................................................................... 24
4.2 Determine the degrees of freedom [1 mark] .................................................. 27
4.3 Determine the critical value at 𝜶 = 𝟎, 𝟎𝟓[1 mark] ........................................... 27
4.4 Interpretation of results ................................................................................... 28
Educating the world for a better change
