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
Step-by-step explanation:
1. Count the number of people for each category:
<u>a) People who were 30 and younger and had facial hair:</u>
<em>Total: 4 people were 30 and younger and had facial hair</em>
<em />
<u>b) People who were 30 and younger and did not have facial hair</u>:
<em>Total: 3 people were 30 and younger and did not have facial hair</em>
<u />
<u>c) People who were older than 30 and had facial hair</u>:
<em>Total: 5 people were older than 30 and had facial hair</em>.
<u />
<u>d) People who were older than 30 and did not have facial hair:</u>
<em>Total: 3 people were older than 30 and did not have facial hair</em>.
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 <em>table written to three decimal places</em>.
