Statistics

"To answer these questions using RStudio, you can follow the steps below. Assuming you have the final exam dataset loaded in RStudio as a data frame named final_exam_data, and that it contains columns such as ""Hospital_Type,"" ""Hospital_Net_Benefit,"" ""Hospital_Cost,"" and ""Hospital_Revenue,"" here's how you can perform the requested analyses:

# Load necessary libraries

library(dplyr)

library(ggplot2)

# 1) Compare the following information between for-profit and non-for-profit hospitals.

# You can use the group_by and summarize functions to compare means or other statistics for the two types of hospitals.

summary_stats <- final_exam_data %>%

  group_by(Hospital_Type) %>%

  summarize(

    Mean_Hospital_Net_Benefit = mean(Hospital_Net_Benefit),

    Median_Hospital_Net_Benefit = median(Hospital_Net_Benefit),

    # Add more summary statistics as needed

  )

# 2) What are the main significant differences between for-profit and non-for-profit hospitals?

# To compare the differences between for-profit and non-for-profit hospitals, you can use statistical tests like t-tests or Wilcoxon rank-sum tests.

# Choose the appropriate test based on the data distribution and assumptions.

# For example, if the data is not normally distributed, you can use a Wilcoxon rank-sum test.

# Perform a t-test for demonstration:

t_test_result <- t.test(

  Hospital_Net_Benefit ~ Hospital_Type,

  data = final_exam_data

)

# 3) Use a box plot and compare Hospital net benefit between for-profit and non-for-profit hospitals.

# Create a box plot to visualize the distribution of net benefits by hospital type.

boxplot_plot <- ggplot(final_exam_data, aes(x = Hospital_Type, y = Hospital_Net_Benefit)) +

  geom_boxplot() +

  labs(x = ""Hospital Type"", y = ""Hospital Net Benefit"")

# 4) Show another scatter plot and compare hospital cost (x-axes) and revenue (y-axes) and discuss your findings.

scatter_plot <- ggplot(final_exam_data, aes(x = Hospital_Cost, y = Hospital_Revenue, color = Hospital_Type)) +

  geom_point() +

  labs(x = ""Hospital Cost"", y = ""Hospital Revenue"")

# 5) Comparing hospital net-benefit, which hospitals have better performance?

# Compute the net benefit difference and perform a t-test.

final_exam_data$Net_Benefit_Difference <- final_exam_data$Hospital_Revenue - final_exam_data$Hospital_Cost

t_test_net_benefit <- t.test(

  Net_Benefit_Difference ~ Hospital_Type,

  data = final_exam_data

)

# 6) Overall, what are the main significant differences between for-profit and non-for-profit hospitals?

# You can summarize your findings from the previous analyses to answer this question.

# Display the results

summary_stats

t_test_result

t_test_net_benefit

# Display the box plot

print(boxplot_plot)

# Display the scatter plot

print(scatter_plot)

# Summarize the main differences between for-profit and non-for-profit hospitals

# Based on your analysis, provide an interpretation of the differences.

# Make sure to save your analysis and results for reporting."