The RMS Titanic was a passenger liner built in 1912 and at the time had the distinction of being the largest sea-faring vessel in the world. However, its legacy was forever defined the morning of April 15, 1912 when on its maiden voyage. While navigating the icy and treacherous North Atlantic waters off the coast of Newfoundland, the ship collided with an iceberg in the early morning hours. The collision compromised the integrity of the vessel's hull leading it to take on large amounts of water. Gorged with water and straining to stay afloat, the mighty vessel upended, heaving its stern high into the air. Not intended to handle the stresses of such a posture, the boat broke in two and sank to its current resting place on the ocean floor just hours after the fateful collision. There were over 2,200 people on board for the trek (885 crew and 1317 passengers), yet the Titanic was only equipped with enough lifeboats to accommodate 1178 people. Sadly, even less people were saved since many life-boats were launched at less than peak capacity during the evacuation. Tragically, more than 1,500 people drowned or froze to death that day in the icy waters of the North Atlantic making the Titanic's sinking one of history's most infamous maritime disasters. The dataset you will be analyzing is a listing of the passenger log and contains the following variables:

Name: The name of the passenger

Age: The passenger's age at the time of the sinking. With the exception of infants under 1 year old, the

age is rounded to the nearest integer.

Pclass: The class of accommodations the passenger was travelling in.

Gender: The gender of the passenger.

Survived: A 0-1 coded variable where 1 indicates the passenger survived and 0 indicates they perished.

Complete the following:

1. 1)Calculate and report the proportion of survivors among women and the proportion of survivors

among men.- 1 pt

1. 2)Back in the day, in times of danger gentlemen were expected to sacrifice themselves for the sake of the ladies. Formulate a hypothesis test where the goal is to prove that men indeed put the lives of the women ahead of their own. Identify the parameter/s being tested, the null value and explicitly write out the null and alternative in terms of the parameter/s and null value.- 1 pt
2. 3)If the ideal mentioned in part 2 were indeed upheld, then, men should have given women preference when boarding the lifeboats (thus giving the women a better chance at survival).Does the data from the Titanic support the claim that this ideal was indeed practiced, or did it demonstrate that in times of peril, it is "every man and woman for themselves"? Carry out the hypothesis tests you suggested in part 2 at level of significance 0 = 0.05. What would be your conclusion - accept or reject the null hypothesis?- 2 pts

Source:

https://docs.google.com/spreadsheets/d/1-uiiBvUIQ5skFJdr5eatP3ORhDY5xM4XXzYMql91Ei8/edit?usp=sharing