You will be working with the Labour force dataset provided in the folder Unit 1 and 2 Problem Set. The Questions for Labour Force Survey document is also provided. This document has selected questions as they appeared on the questionnaire that was administered to collect the data on the labour force in a selected Caribbean country. Note: You will need to copy and paste your R codes (where used) to receive full marks.

Use R-studio to generate an appropriate diagram and answer the following:

a) Discuss the distribution of individuals by employment status in current job. (4 marks)

b) Is there a relationship between (i) age and income and (ii) gender and income? Discuss.

Use R-studio to calculate relevant statistics (e.g., mean, median, mode, standard deviation, coefficient of variation etc.) and answer the following:

c) Were respondents more variable in the number of hours worked per week or gross annual income earned? Explain. (6 marks)

d) What can you say about income inequality based on gender in this sample? (8 marks)

e) Suppose the researcher wants to investigate the mean number of hours worked per week by female in this Caribbean Island. It is believed that women work no more than 40 hours per week. Assuming the respondents in the labour force dataset represents a random sample of respondents in this country test this claim made about women in this country. Note: Make sure to state the null and alternative hypotheses in words. (6 marks)

Labour Market Questionnaire

1. Are you the head of the household? Yes No

2. Sex 1. Female 2. Male

3. What was your age at your last birthday?

4. How many hours do you usually work per week?

5. What was the main type of work that you were engaged in during week ending.?

1- Legislators, senior officials and managers

2- Professionals

3- Technicians and associate professionals

4- Clerks

5- Service workers, shop and market sales worker

6- Skilled agricultural and fishery workers

7- Craft and related trades workers

8- Plant and machine operators and assemblers

9- Elementary occupations

6. For how long have you been working at your current job?

1- Less than 3 months

2- 3 months but less than 6 months

3- 6 months but less than 9 months

4- 9 months but less than 12 months

5- 1 year but less than 2 years

6- 2 years but less than 5 years

7- 5 or more years

8- Not stated

7. How many years of secondary education do you have?

8. What is the highest (academic) examination that you have passed?

1- None

2- CXC Basic, JSC

3- CXC Gen, GCE 0 1-2

4- CXC Gen, GCE 0 3-4

5- CXC Gen, GCE 0 5+

6- GCE A 1-2/ CAPE 1-2

7- GCE A / CAPE 3+

8- Degree from a recognized tertiary institution

9- Other 99- Not stated

9. What is your employment status in your current job?

1- Employee of central or local government

2- Employee of other government agencies

3- Employee of Private sector

4- Unpaid family worker

5- Employer

6- Own account worker

10. What is your gross or average income to the nearest $, over the past 12 months?

Household head	SEX	AGE	Hours worked per week	Main type of work	Length of time at job	Years of secondary schooling	Examination passed
1	2	27	16	5	7	5	1
2	1	24	40	5	5	3	99
2	2	26	60	5	6	5	1
2	1	46	40	4	7	5	1
1	2	31	40	8	7	3	1