Data Description and Background

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.

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 simple random sample of 50 survivors. It contains the following variables:

Name: The name of passengers; Gender: The gender of the passenger.

Using the data provided, answer the following questions and provide the requested analysis.

1. Provide an estimate of the proportion of survivors who were female?
2. Construct an interval that will encompass the true value of the proportion of survivors who were females with probability 0.9.
3. In order for the previous interval to be reliable, it is assumed that the sampling distribution of the sample proportion be approximately Normally Distributed. Confirm whether this assumption is justified and explain your reasoning.
4. Since there were not enough life-boats to accommodate every passenger, when it came time to evacuate the ship the time-honored tradition of "women first" was practiced when determining who would be granted a spot on a life-boat. Based on the previous results, is there statistical evidence to conclude the prior practice was indeed adhered to? Explain your rationale.

Data:

Name Gender

Beesley, male Graham,female Phillips,female Daniels,female del Carlo,female

McGovern,female Asplund,male Nilsson,female Kink,male Backstrom,female

Johnson,male Bucknell,female Becker, female Astor,female Kantor,female

Siukonnen,female Karun,female Cassem,male Leeni,male Newell,female

Hippach,female Bonnell,female Masselmany,female Jansen,male Stranden,male

Crosby,female Taussig,female Novel,male Carter,male Caldwell,female

Hamalainen,female Young,female Cribb,female Swift,female Howard,female

Heikkinen,female Simonius-Blumer,male Potter,female Shine,female Hays,female

Hays,female Angle,female Herman,female Anderson,male Dodge,male

Beane,female Quick,female Longley,female Hedman,male Peuchen,male