Question

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 and 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?  

Answer 1

ANSWER::

Populations and hypotheses

p1 = Population proportion of women who prefer running

p2 = Population proportion of women who prefer swimming

p1 = Population proportion of women who prefer cross-fit

p1 = Population proportion of women who prefer exercise class

The following null and alternative hypotheses need to be tested:

H0: There is no difference in women's workout preferences

H0: p1​=0.25,p2​=0.25,p3​=0.25,p4​=0.25

Ha: Some of the population proportions differ from the values stated in the null hypothesis

Chi-Squared Test Statistic Calculation

SPSS Output

Interpretation

We can see from this table that the test statistic is statistically significant: χ2(2) = 7.857, p < .05. Therefore, we can reject the null hypothesis and conclude that there are statistically significant differences in the women's preference in workouts.

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