T-Test Analysis based on the “Sinking of the RMS Titanic”

#setup
titanic<-read.csv("C:\\Users\\ADI\\Downloads\\Titanic Data.csv")

4b)table showing the average age of the survivors and the average age of the people who died:

aggregate(Age~Survived,data=titanic,mean)
##   Survived      Age
## 1        0 30.41530
## 2        1 28.42382

4c) t-test to test the following hypothesis: H2: The Titanic survivors were younger than the passengers who died.

t.test(Age~Survived,data=titanic)
## 
##  Welch Two Sample t-test
## 
## data:  Age by Survived
## t = 2.1816, df = 667.56, p-value = 0.02949
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
##  0.1990628 3.7838912
## sample estimates:
## mean in group 0 mean in group 1 
##        30.41530        28.42382

Since p value<0.05, we reject the null hypothesis that was “The Titanic survivors were not related by age to the passengers who died.”