Question

On April 15, 1912, on her maiden voyage, the Titanic collided with an iceberg and sank. The ship was luxurious but did not have enough lifeboats for the 2224 passengers and crew. As a result of the collision, 1502 people died.The ship had three classes of passengers, 323 passengers in the first class, 277 in the second class, and 709 in the third class. The number of passengers survived were 200 in the first class, 119 in the second, and 181 in the third, respectively. a. Find the chi-square statistic and the p-value. b. What are the hypotheses? c. Construct the table for expected frequency and explain it. d. What is the conclusion of this test?

Answer 1

	first class	second class	third class		total
Dead(obs)	323	277	709		1309
Dead(Exp)	378.4	286.5	644		1309
Survived(obs)	200	119	181		500
survived(exp)	144.6	109.5	246		500
total	523	396	890		1809

Pearson Chi-Square = 54.270, DF = 2, P-Value = 0.000
Likelihood Ratio Chi-Square = 53.926, DF = 2, P-Value = 0.000

hypothesis is there are significant associations between dead and survived of the variuos class passengers. P-value also have the same indications. as per null hypothesis no significant associations are present.