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# Statistical Difference

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A researcher conducts a chi-square test to determine whether there is a statistically significant difference in the rate of current anxiety disorder between an intervention and control group at baseline (pre-treatment visit). Explain why the researcher would like to retain the null hypothesis stating no significant differences in the proportion of cases with anxiety disorder in the two groups.

gender * anxiety Crosstabulation
Anxiety Total
0 1
gender 0 Count 87 16 103
% within gender 84.5% 15.5% 100.0%
% within anxiety 52.4% 29.6% 46.8%
% of Total 39.5% 7.3% 46.8%
1 Count 79 38 117
% within gender 67.5% 32.5% 100.0%
% within anxiety 47.6% 70.4% 53.2%
% of Total 35.9% 17.3% 53.2%
Total Count 166 54 220
% within gender 75.5% 24.5% 100.0%
% within anxiety 100.0% 100.0% 100.0%
% of Total 75.5% 24.5% 100.0%

Chi-Square Tests
Value df Asymp. Sig. (2-sided) Exact Sig. (2-sided) Exact Sig. (1-sided)
Pearson Chi-Square 8.492a 1 .004
Continuity Correctionb 7.602 1 .006
Likelihood Ratio 8.723 1 .003
Fisher's Exact Test .005 .003
Linear-by-Linear Association 8.453 1 .004
N of Valid Cases 220
a. 0 cells (0.0%) have expected count less than 5. The minimum expected count is 25.28.
b. Computed only for a 2x2 table

Risk Estimate
Value 95% Confidence Interval
Lower Upper
Odds Ratio for gender (0 / 1) 2.616 1.354 5.054
For cohort anxiety = 0 1.251 1.076 1.454
For cohort anxiety = 1 .478 .284 .805
N of Valid Cases 220

https://brainmass.com/statistics/chi-squared-test/statistical-difference-509256

#### Solution Preview

A researcher conducts a chi-square test to determine whether there is a statistically significant difference in the rate of current anxiety disorder between an intervention and control group at baseline (pre-treatment visit). Explain why the researcher would like to retain the null hypothesis stating no significant differences in the proportion of cases with anxiety disorder in the two groups.

tx * anxiety Crosstabulation
anxiety Total
0 1
Tx 0 Count 83 28 111
% within tx 74.8% 25.2% 100.0%
% within anxiety 50.0% 51.9% 50.5%
% of ...

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