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Posted: June 28th, 2022
T 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.
Case Processing Summary
for profit=1, nonprofit and GV=0 Cases
Valid Missing Total
N Percent N Percent N Percent
Total Number of Beds .00 115 100.0% 0 0.0% 115 100.0%
1.00 283 100.0% 0 0.0% 283 100.0%
Descriptives
for profit=1, nonprofit and GV=0 Statistic Std. Error
Total Number of Beds .00 Mean 93.97 5.071
95% Confidence Interval for Mean Lower Bound 83.93
Upper Bound 104.02
5% Trimmed Mean 90.08
Median 87.00
Variance 2957.657
Std. Deviation 54.384
Minimum 12
Maximum 300
Range 288
Interquartile Range 74
Skewness 1.074 .226
Kurtosis 1.858 .447
1.00 Mean 112.01 2.835
95% Confidence Interval for Mean Lower Bound 106.43
Upper Bound 117.59
5% Trimmed Mean 110.12
Median 114.00
Variance 2275.269
Std. Deviation 47.700
Minimum 13
Maximum 298
Range 285
Interquartile Range 57
Skewness .644 .145
Kurtosis .706 .289
Tests of Normality
for profit=1, nonprofit and GV=0 Kolmogorov-Smirnova Shapiro-Wilk
Statistic df Sig. Statistic df Sig.
Total Number of Beds .00 .108 115 .002 .928 115 .000
1.00 .105 283 .000 .971 283 .000
a. Lilliefors Significance Correction
T-test with outliers removed (Cases 81 [TOTBED=392] and 94 [TOTBED= 356] from NP = 0 Group)
Group Statistics
for profit=1, nonprofit and GV=0 N Mean Std. Deviation Std. Error Mean
Total Number of Beds .00 115 93.97 54.384 5.071
1.00 283 112.01 47.700 2.835
Independent Samples Test
Levene’s Test for Equality of Variances t-test for Equality of Means
F Sig. t df Sig. (2-tailed) Mean Difference Std. Error Difference 95% Confidence Interval of the Difference
Lower Upper
Total Number of Beds Equal variances assumed 3.548 .060 -3.280 396 .001 -18.033 5.498 -28.842 -7.224
Equal variances not assumed -3.104 188.950 .002 -18.033 5.810 -29.494 -6.572
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