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 assumption of homogeneity of variance is met.  True  False

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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.
     

     

     
    The assumption of homogeneity of variance is met.

     True

     False

**SPSS Output Analysis**

The following SPSS output examines the percent of security staff that is female at private and public prisons.

**Group Statistics:**
- **Percent of security staff that is female:**
  - **Facility is Private or Public:**
    - **Public:**
      - N = 1302
      - Mean = 25.4351
      - Std. Deviation = 18.34235
      - Std. Error Mean = 0.50833
    - **Private:**
      - N = 343
      - Mean = 43.3830
      - Std. Deviation = 21.01978
      - Std. Error Mean = 1.13496

**Independent Samples Test:**

1. **Levene’s Test for Equality of Variances:**
   - F = 12.924
   - Sig. = 0.000

2. **t-test for Equality of Means:**
   - **Equal variances assumed:**
     - t = -15.62
     - df = 1643
     - Sig. = 0.000
     - Mean Difference = -17.948
     - Std. Error Difference = 1.1490
     - 95% Confidence Interval of the Difference: Lower = -20.201, Upper = -15.6943
   - **Equal variances not assumed:**
     - t = -14.43
     - df = 487.815
     - Sig. = 0.000
     - Mean Difference = -17.948
     - Std. Error Difference = 1.2436
     - 95% Confidence Interval of the Difference: Lower = -20.391, Upper = -15.5044

**Conclusion:**

- The assumption of homogeneity of variance is not met, as indicated by a significant Levene's test (Sig. = 0.000).

**Question:**
- The assumption of homogeneity of variance is met.
  - ☐ True
  - ☑ False
Transcribed Image Text:**SPSS Output Analysis** The following SPSS output examines the percent of security staff that is female at private and public prisons. **Group Statistics:** - **Percent of security staff that is female:** - **Facility is Private or Public:** - **Public:** - N = 1302 - Mean = 25.4351 - Std. Deviation = 18.34235 - Std. Error Mean = 0.50833 - **Private:** - N = 343 - Mean = 43.3830 - Std. Deviation = 21.01978 - Std. Error Mean = 1.13496 **Independent Samples Test:** 1. **Levene’s Test for Equality of Variances:** - F = 12.924 - Sig. = 0.000 2. **t-test for Equality of Means:** - **Equal variances assumed:** - t = -15.62 - df = 1643 - Sig. = 0.000 - Mean Difference = -17.948 - Std. Error Difference = 1.1490 - 95% Confidence Interval of the Difference: Lower = -20.201, Upper = -15.6943 - **Equal variances not assumed:** - t = -14.43 - df = 487.815 - Sig. = 0.000 - Mean Difference = -17.948 - Std. Error Difference = 1.2436 - 95% Confidence Interval of the Difference: Lower = -20.391, Upper = -15.5044 **Conclusion:** - The assumption of homogeneity of variance is not met, as indicated by a significant Levene's test (Sig. = 0.000). **Question:** - The assumption of homogeneity of variance is met. - ☐ True - ☑ False
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