A study was performed to determine if there is a relationship between gender and

Question

A study was performed to determine if there is a relationship between gender and whether or not people exercise. 20 subjects were selected at random, their gender (M = Male, F = Female) was recorded and whether or not the they exercised (Y = Yes, N = No). The results from the measurements are summarised below:

Subject 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Gender M F M F M M M F F M F M M F F F M M F M

Exercise Y N N Y N Y N Y Y Y N N Y Y N Y N N Y N

1. What type of study is outlined here? Justify your answer.

2. What are the data types and scale of measurement of each measurement?

3. Summarise the data in a contingency table. [9 marks] 4. If a subject is selected at random, what is the probability that the subject will be male?

5. If a subject is selected at random, what is the probability that the subject will be female and exercise?

Explanation / Answer

1.Type of study:
Association of Attributes

EXPLANATION:

Here, the researcher is studying the existance of relationship between two attributes: (i) gender (male or female and (ii) whether exercise or not.

2. Data types are catagorical data

Scale of measuement:

For measurement of gender:one of the 2 values: M & F

For measurement of exercise: one of 2 values: Y & N

3.

Cntingency Table:

                       Male             Female           Total

Exercise           4                    6                    10

No Exercise               7                  3                    10

Total                         11                    9                     20

4. P(Male) = 11/20 = 0.55

5. P(Female & Exercise) = 6/20 = 0.3

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