In: Statistics and Probability
An advertising firm wanting to target people with strong desires for success conducted a study to see if such people differed in the types of television shows they watched. Randomly selected participants recorded the shows they watched for a week, then their desire for success was assessed, and finally they were divided into two groups. Low Success seekers watched 8 comedies, 15 romances, 6 documentaries, 13 dramas, and 3 news shows. High Success seekers watched 3 comedies, 3 romances, 9 documentaries, 7 dramas, and 8 news shows. Using this data answer the following:
Answer:
An advertising firm wanting to target people with strong desires for success conducted a study to see if such people differed in the types of television shows they watched. Randomly selected participants recorded the shows they watched for a week, then their desire for success was assessed, and finally they were divided into two groups. Low Success seekers watched 8 comedies, 15 romances, 6 documentaries, 13 dramas, and 3 news shows. High Success seekers watched 3 comedies, 3 romances, 9 documentaries, 7 dramas, and 8 news shows. Using this data answer the following:
• State the populations and hypotheses
Population: All people with strong desires for success
Ho: there is no association between desire for level of success and the types of television shows watched
H1: there is an association between desire for level of success and the types of television shows watched
• Create a table for the data
Low Success |
High Success |
|
Comedies |
8 |
3 |
Romance |
15 |
3 |
Documentaries |
6 |
9 |
Dramas |
13 |
7 |
News |
3 |
8 |
• Conduct a Chi-Squared for independence test using the SPSS program and post output file.
view of spss data file:
The variables type and success are labeled accordingly.
SPSS commands to get output:
WEIGHT BY count.
CROSSTABS
/TABLES=type BY success
/FORMAT=AVALUE TABLES
/STATISTICS=CHISQ
/CELLS=COUNT
/COUNT ROUND CELL.
SPSS output:
type * success Crosstabulation |
||||
Count |
||||
success |
Total |
|||
Low |
High |
|||
type |
Comedies |
8 |
3 |
11 |
Romance |
15 |
3 |
18 |
|
Documentaries |
6 |
9 |
15 |
|
Dramas |
13 |
7 |
20 |
|
News |
3 |
8 |
11 |
|
Total |
45 |
30 |
75 |
Chi-Square Tests |
|||
Value |
df |
Asymptotic Significance (2-sided) |
|
Pearson Chi-Square |
12.443a |
4 |
0.014 |
Likelihood Ratio |
12.861 |
4 |
0.012 |
Linear-by-Linear Association |
5.687 |
1 |
0.017 |
N of Valid Cases |
75 |
||
a. 2 cells (20.0%) have expected count less than 5. The minimum expected count is 4.40. |
• State the results using the proper APA format.
The association between level of success and the types of television shows watched is significant, χ2 (4, N = 75) = 12.44, p < .05.
• Is the distribution of type of shows watched different for participants having high and low desires for success?
Yes, the distribution of type of shows watched different for participants having high and low desires for success.
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