Question

In: Statistics and Probability

For the Chi-squared for independence problem: (1) state the populations and hypotheses; (2) create a table...

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?

Solutions

Expert Solution

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.


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