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The following SPSS output examines the percent of security staff that is female at private and public prisons. Based on the output answer the question below.

The following SPSS output examines the percent of security staff that is female at private and public prisons. Based on the output answer the question below.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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  1. The following SPSS output examines the percent of security staff that is female at private and public prisons. Based on the output answer the question below.
     

     

     
    Which is the most appropriate degrees of freedom to report?
       
    .000
       
    1643
       
    487.815
       
    1.1490
**SPSS Output Analysis: Percent of Female Security Staff in Prisons** The following SPSS output examines the percent of security staff that is female at private and public prisons. ### Group Statistics | Facility is private or public | N | Mean | Std. Deviation | Std. Error Mean | |-------------------------------|-----|--------|----------------|-----------------| | Public | 1302| 25.4351| 18.34235 | .50833 | | Private | 343 | 43.3830| 21.01978 | 1.13496 | ### Independent Samples Test #### Levene's Test for Equality of Variances - **F**: 12.924 - **Sig.**: .000 #### t-test for Equality of Means | | t | df | Sig. | Mean Difference | Std. Error Difference | 95% Confidence Interval of the Difference | |-------------------------------|---------|--------|------|-----------------|-----------------------|-------------------------------------------| | **Equal variances assumed** | -15.62 | 1643 | .000 | -17.948 | 1.1490 | Lower: -20.201 Upper: -15.6943 | | **Equal variances not assumed**| -14.43 | 487.815| .000 | -17.948 | 1.2436 | Lower: -20.391 Upper: -15.5044 | ### Conclusion - **Levene’s Test** indicates a significant difference in variances (p = .000), suggesting that the assumption of homogeneity of variances is **not met**. - The mean percentage of female security staff is higher in private facilities compared to public facilities. **The assumption of homogeneity of variance is met.** - False This analysis shows a statistically significant difference between public and private facilities in terms of the percentage of female security staff.
Transcribed Image Text:**SPSS Output Analysis: Percent of Female Security Staff in Prisons** The following SPSS output examines the percent of security staff that is female at private and public prisons. ### Group Statistics | Facility is private or public | N | Mean | Std. Deviation | Std. Error Mean | |-------------------------------|-----|--------|----------------|-----------------| | Public | 1302| 25.4351| 18.34235 | .50833 | | Private | 343 | 43.3830| 21.01978 | 1.13496 | ### Independent Samples Test #### Levene's Test for Equality of Variances - **F**: 12.924 - **Sig.**: .000 #### t-test for Equality of Means | | t | df | Sig. | Mean Difference | Std. Error Difference | 95% Confidence Interval of the Difference | |-------------------------------|---------|--------|------|-----------------|-----------------------|-------------------------------------------| | **Equal variances assumed** | -15.62 | 1643 | .000 | -17.948 | 1.1490 | Lower: -20.201 Upper: -15.6943 | | **Equal variances not assumed**| -14.43 | 487.815| .000 | -17.948 | 1.2436 | Lower: -20.391 Upper: -15.5044 | ### Conclusion - **Levene’s Test** indicates a significant difference in variances (p = .000), suggesting that the assumption of homogeneity of variances is **not met**. - The mean percentage of female security staff is higher in private facilities compared to public facilities. **The assumption of homogeneity of variance is met.** - False This analysis shows a statistically significant difference between public and private facilities in terms of the percentage of female security staff.
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