Please examine the texts provided thoroughly to identify and correct any spelling, typographical, grammatical, OCR (optical character recognition), and mathematical errors, including any errors related to the square root symbol. Ensure that the entire text is properly formatted and presented in a clear, coherent manner. Only correct errors, Do not answer it.
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Texts: Imagine you need to evaluate the mean difference in wage. In this analysis, you ask yourself: are there differences in wage by insurance status? Estimate a model that helps you understand the mean difference in wage when people have insurance versus people without insurance. What model will you pick? 1) What is the value of the mean difference? Are people with insurance earning more money? 2) Is the mean difference explained by chance alone? How do you know?
Results
Independent Samples T-Test
Statistic df p Mean difference SE difference Effect Size
wage Student's t 17.7įµ 2998 <ā.001 27.9 1.57 Cohen's d 0.703
Welch's t 18.7 1989 <ā.001 27.9 1.49 Cohen's d 0.722
Note. Hā μā1. Yes ā μā2. No
įµ Levene's test is significant (p < .05), suggesting a violation of the assumption of equal variances
Group Descriptives
Group N Mean Median SD SE
wage 1. Yes 2083 120 113 41.2 0.904
2. No 917 92.3 88.0 36.0 1.19
Descriptives
Descriptives health_ins
wage N
1. Yes 2083
2. No 917
Missing
1. Yes 0
2. No 0
Mean
1. Yes 120
2. No 92.3
Median
1. Yes 113
2. No 88.0
Standard deviation
1. Yes 41.2
2. No 36.0
Minimum
1. Yes 32.4
2. No 20.1
Maximum
1. Yes 318
2. No 310
Plots wage