Does the percentage expenditure spent on healthcare impact adult mortality rates (per 1000 people) in Australia?

setwd("~/Downloads/AMED3002")
health <- read.csv('life.csv')

scatter.smooth(x=health$Total.expenditure, y= health$Adult.Mortality, xlab= "Total expenditure on healthcare as % of GDP", ylab= "Adult mortality rate", main= "Australian adult mortality rate against government health expenditure", col= "cornflowerblue")

scatter.smooth(x=health$Year, y= health$Total.expenditure, xlab= "Year", ylab= "Total expenditure on healthcare as % of GDP", main= "Australian government total healthcare expenditure over time", col= "cornflowerblue")

scatter.smooth(x=health$Year, y= health$Adult.Mortality, xlab= "Year", ylab= "Adult mortality rate per 1000 people", main= "Average Australian adult mortality rate over time", col= "cornflowerblue")

Hypothesis testing

H0 (Null hypothesis): There is no relationship between percentage healthcare expenditure and adult mortality, the two values are independent (p<0.05) HA (Alternative hypothesis): There is a relationship between percentage healthcare expenditure and adult mortality, the two values are dependent (p>0.05)

linearMod <- lm(Total.expenditure ~ Adult.Mortality, data=health)
summary(linearMod)
## 
## Call:
## lm(formula = Total.expenditure ~ Adult.Mortality, data = health)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -0.4921 -0.3106 -0.1877  0.3638  0.6995 
## 
## Coefficients:
##                  Estimate Std. Error t value Pr(>|t|)    
## (Intercept)      9.742171   0.426702  22.831  7.1e-12 ***
## Adult.Mortality -0.014267   0.006517  -2.189   0.0474 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.4057 on 13 degrees of freedom
##   (1 observation deleted due to missingness)
## Multiple R-squared:  0.2693, Adjusted R-squared:  0.2131 
## F-statistic: 4.792 on 1 and 13 DF,  p-value: 0.04744

P-Value is less than 2.2e^16, therefore statistically significant, and hence the null hypothesis is rejected and there is a relationship between percentage healthcare expenditure and adult mortality rate.