Reading the Titanic data set

titanic <- read.csv(paste("Titanic Data.csv",sep=""))
head(titanic)
##   Survived Pclass    Sex  Age SibSp Parch    Fare Embarked
## 1        0      3   male 22.0     1     0  7.2500        S
## 2        1      1 female 38.0     1     0 71.2833        C
## 3        1      3 female 26.0     0     0  7.9250        S
## 4        1      1 female 35.0     1     0 53.1000        S
## 5        0      3   male 35.0     0     0  8.0500        S
## 6        0      3   male 29.7     0     0  8.4583        Q

Average age of survivors and non-survivors.

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

Here, we see that average age of survivors is less than that of non-survivors. Now, we will perform the t-test

Hypothesis: H1: “The Titanic survivors were younger than the passengers who died.”

t.test(titanic$Age ~ titanic$Survived)
## 
##  Welch Two Sample t-test
## 
## data:  titanic$Age by titanic$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 the p-value is less than 0.05, thus we can reject the null hypothesis that the ages of the survivors and the dead people are the same. Hence, there is a significant difference between age of survivors and non-survivors of RMS Titanic.