Section A

Study this CASE STUDY to answer Questions One and Two

Over the years. The University of Zambia has been increasing the students' enrolments with the latest student population estimated at $30,000.$ These consist only of first to sixth year, excluding those at Ridgeway Campus. The University has recently faced criticism regarding the quality of education that its students have been receiving. Areas of this criticism include the adequacy and quality of text books available to the students for their reading, the shortage of lecturers, dilapidated lecturer rooms, as well as a compressed academic calendar among other things.

In a bid to respond to these challenges, University Management has lobbied and sourced for funds from Government in order to boost the Human resource structure as well as give the University a face lift in different areas of its operations such as books and other infrastructure. However, the lamentations among students with regards to the quality of education that they have been receiving has continued. The Vice Chancellor has just engaged you to conduct a study that would ultimately help address these teething problems.

Question One

$[$Total: $20$ marks$]$

a$.$ Define Resiarch and briefly explain the difference between pure and applied research?

$[5$ marks$]$

b$.$ Deterinine the appropriate title that you would use for the study, and formulate a problem statement using a case study provided to you above.

$[5$ marks$]$

i$.$ Formulate research objectives for objectives of this study?

$[5$ marks$]$

ii$.$ From the above scenario, identify at least four independent and one dependent variable.

$[5$ marks$]$

Question Two

$[$Total: $20$ marks$]$

a$.$ You have decided that the student populace will be your target population, use the Taro Yamani formula to determine the sample size of your study.

$($Use a $1\%$ sampling crror$)$

$[5$ marks$]$

b$.$ Given that in terms of the years of study, the students are divided into the following proportions:

$\backslash$table$[[$Year of Study,First,Second,Third,Forth,Fifth,Sixth$],[$Proportion$,0\mathrm{.}3,0\mathrm{.}2,0\mathrm{.}2,0\mathrm{.}15,0\mathrm{.}1,0\mathrm{.}05]]$

i$.$ Using the information in the table above, and your answer in a$),$ determine the population size for each cohort $($year of study$),$ as well as the sample size that you would choose from each of these cohorts.

$[5$ marks$]$