In: Statistics and Probability
Problem Set 2: A product developer wanted to know the preferred advertising strategy for a new toothpaste, and if it differs among three target demographic groups: 12-24, 25-40, and 40-60 year olds. There were two versions of advertisements for the toothpaste. Each person indicated their favorite version of the advertisement, as indicated in the table below. Did the preferred advertisement version differ by age group? (Note –conclusions may not be a good reflection of the data due to the small sample size – this example is purely for educational purposes)
Advertisement version |
TOTALS |
|||
A |
B |
|||
Age group |
Young |
3 |
7 |
10 |
Mid |
4 |
6 |
10 |
|
Older |
6 |
4 |
10 |
|
TOTALS |
30 |
The SPSS output is:
The hypothesis being tested is:
H0: The preferred advertisement version does not differ by age group
Ha: The preferred advertisement version differ by age group
The p-value from the output is 0.387.
Since the p-value (0.387) is greater than the significance level (0.05), we cannot reject the null hypothesis.
Therefore, we cannot conclude that the preferred advertisement version differs by age group.