T Assignment
roelofsl
TtestAssignmentSummer2022.docxT test Assignment
MOHA 570
Instructions: A health care researcher would like to answer the following research question: On average, are for-profit nursing homes larger (based on total number of beds) than facilities of another type (non-profit and governmental)? Compose a null and alternative hypothesis below:
H1:
H0:
SPSS t-test outputs are below. Write an APA style results paragraph explaining the results, conclusions, assumptions and limitations. Discuss if t-test was the appropriate test selection in terms of skewed vs. normally distributed data.
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Case Processing Summary |
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for profit=1, nonprofit and GV=0 |
Cases |
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Valid |
Missing |
Total |
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N |
Percent |
N |
Percent |
N |
Percent |
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Total Number of Beds |
.00 |
115 |
100.0% |
0 |
0.0% |
115 |
100.0% |
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1.00 |
283 |
100.0% |
0 |
0.0% |
283 |
100.0% |
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Descriptives |
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for profit=1, nonprofit and GV=0 |
Statistic |
Std. Error |
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Total Number of Beds |
.00 |
Mean |
93.97 |
5.071 |
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95% Confidence Interval for Mean |
Lower Bound |
83.93 |
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Upper Bound |
104.02 |
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5% Trimmed Mean |
90.08 |
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Median |
87.00 |
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Variance |
2957.657 |
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Std. Deviation |
54.384 |
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Minimum |
12 |
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Maximum |
300 |
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Range |
288 |
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Interquartile Range |
74 |
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Skewness |
1.074 |
.226 |
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Kurtosis |
1.858 |
.447 |
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1.00 |
Mean |
112.01 |
2.835 |
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95% Confidence Interval for Mean |
Lower Bound |
106.43 |
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Upper Bound |
117.59 |
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5% Trimmed Mean |
110.12 |
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Median |
114.00 |
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Variance |
2275.269 |
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Std. Deviation |
47.700 |
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Minimum |
13 |
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Maximum |
298 |
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Range |
285 |
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Interquartile Range |
57 |
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Skewness |
.644 |
.145 |
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Kurtosis |
.706 |
.289 |
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Tests of Normality |
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for profit=1, nonprofit and GV=0 |
Kolmogorov-Smirnova |
Shapiro-Wilk |
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Statistic |
df |
Sig. |
Statistic |
df |
Sig. |
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Total Number of Beds |
.00 |
.108 |
115 |
.002 |
.928 |
115 |
.000 |
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1.00 |
.105 |
283 |
.000 |
.971 |
283 |
.000 |
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a. Lilliefors Significance Correction |
T-test with outliers removed (Cases 81 [TOTBED=392] and 94 [TOTBED= 356] from NP = 0 Group)
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Group Statistics |
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for profit=1, nonprofit and GV=0 |
N |
Mean |
Std. Deviation |
Std. Error Mean |
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Total Number of Beds |
.00 |
115 |
93.97 |
54.384 |
5.071 |
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1.00 |
283 |
112.01 |
47.700 |
2.835 |
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Independent Samples Test |
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Levene's Test for Equality of Variances |
t-test for Equality of Means |
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F |
Sig. |
t |
df |
Sig. (2-tailed) |
Mean Difference |
Std. Error Difference |
95% Confidence Interval of the Difference |
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Lower |
Upper |
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Total Number of Beds |
Equal variances assumed |
3.548 |
.060 |
-3.280 |
396 |
.001 |
-18.033 |
5.498 |
-28.842 |
-7.224 |
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Equal variances not assumed |
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-3.104 |
188.950 |
.002 |
-18.033 |
5.810 |
-29.494 |
-6.572 |
