In: Statistics and Probability
For the Chi-squared for independence problem:
(1) state the populations and hypotheses;
(2) create a table for the data;
(3) conduct a Chi-Squared for independence test using the SPSS
program and paste the output information;
(4) state the results using the proper APA format; and
(5) answer any question.
Place all of this in a word document and be sure to include any
relevant output information from SPSS.
1. A health psychologist was interested in women's workout preferences. Of the 56 participants surveyed, 22 preferred running, 8 preferred swimming, 15 preferred cross-fit, and 11 preferred an exercise class. Using this information answer the following:
State the populations and hypotheses for a Chi-squared goodness of fit test
Solve for Chi-Squared for goodness of fit
Conduct chi-squared test for goodness of fit using the SPSS program and paste the output file.
State the answer using proper APA format
Is there evidence for a difference in preferences in workouts?
2. 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
Create a table for the data
Conduct a Chi-Squared for independence test using the SPSS program and post output file.
State the results using the proper APA format.
Is the distribution of type of shows watched different for participants having high and low desires for success?
Problem 1 solved.
Place all of this in a word document and be sure to include any relevant output information from SPSS.
1. A health psychologist was interested in women's workout preferences. Of the 56 participants surveyed, 22 preferred running, 8 preferred swimming, 15 preferred cross-fit, and 11 preferred an exercise class. Using this information answer the following:
State the populations and hypotheses for a Chi-squared goodness of fit test
Population: all women who are doing workout
Ho: There is no difference in preferences in workouts
H1: There is difference in preferences in workouts
Solve for Chi-Squared for goodness of fit
Goodness of Fit Test |
||||
observed |
expected |
O - E |
(O - E)² / E |
|
22 |
56/4 = 14.000 |
8.000 |
4.571 |
|
8 |
14.000 |
-6.000 |
2.571 |
|
15 |
14.000 |
1.000 |
0.071 |
|
11 |
14.000 |
-3.000 |
0.643 |
|
Total |
56 |
56.000 |
0.000 |
7.857 |
Conduct chi-squared test for goodness of fit using the SPSS program and paste the output file.
(Data frequencies are entered in spss and weight by command in data menu is used for data setup)
Spss output
VAR00002 |
|||
Observed N |
Expected N |
Residual |
|
Running |
22 |
14.0 |
8.0 |
swimming |
8 |
14.0 |
-6.0 |
cross-fit |
15 |
14.0 |
1.0 |
exercise class |
11 |
14.0 |
-3.0 |
Total |
56 |
Test Statistics |
|
VAR00002 |
|
Chi-Square |
7.857a |
df |
3 |
Asymp. Sig. |
.049 |
a. 0 cells (0.0%) have expected frequencies less than 5. The minimum expected cell frequency is 14.0. |
State the answer using proper APA format
Is there evidence for a difference in preferences in workouts?
The study shows that there is significant evidence in preferences in workouts, c2 (3, N = 56) = 7.86, p = .049.