Answer:
------ Facial hair ------
Yes No Total
Age
30 and younger 0.267 0.200 0.467
older than 30 0.333 0.200 0.533
Total 0.600 0.400 1.000
Explanation:
1. Count the number of people for each category:
a) People who were 30 and younger and had facial hair:
Total: 4 people were 30 and younger and had facial hair
b) People who were 30 and younger and did not have facial hair:
Total: 3 people were 30 and younger and did not have facial hair
c) People who were older than 30 and had facial hair:
Total: 5 people were older than 30 and had facial hair.
d) People who were older than 30 and did not have facial hair:
Total: 3 people were older than 30 and did not have facial hair.
2. Build a two way table with the absolute frequencies:
------ Facial hair ------
Yes No Total
Age
30 and younger 4 3 7
older than 30 5 3 8
Total 9 6 15
3. To build the two-way relative frequency table, divive each absolute frequency by the total number of men (15):
These are the quotients:
- 4/15 = 0.267
- 3/15 = 0.200
- 7/15 = 0.467
- 5/15 = 0.333
- 3/15 = 0.200
- 8/15 = 0.533
- 9/15 = 0.600
- 6/15 = 0.400
- 15/15 = 1.000
Now write the table with the relative frequencies:
-------- Facial hair --------
Yes No Total
Age
30 and younger 0.267 0.200 0.467
older than 30 0.333 0.200 0.533
Total 0.600 0.400 1.000
And that is the requested table written to three decimal places.