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Chapter 1: Q 38. (page 28)

Women and children first? Here鈥檚 another table that summarizes data on survival status by gender and class of travel on the Titanic:

(a) Find the distributions of survival status for males and for females within each class of travel. Did women survive the disaster at higher rates than men? Explain.

(b) In an earlier example, we noted that survival status is associated with class of travel. First-class passengers had the highest survival rate, while third-class passengers had the lowest survival rate. Does this same relationship hold for both males and females in all three classes of travel? Explain.

Short Answer

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Part (a)

Part (b) No

Step by step solution

01

Part (a) Step 1. Given information.

The given table is:

02

Part (a) Step 2. Find the distributions of survival status for males and for females within each class of travel.



Survival Status		First ClassSecond Class
Third Class
Femalemale
FemaleMaleFemale
Male
Survived
140144鈮�97.22%

57175鈮�32.57%
8093鈮�86.02%		14168鈮�8.33%

76165鈮�46.06%
75462鈮�16.23%
Died4144鈮�2.78%
118175鈮�67.43%
1393鈮�13.98%
154165鈮�91.67%
89165鈮�53.94%
387462鈮�83.77%

From the above distribution, we can conclude that females' survival rate in the disaster is much higher than males.

In the first class, the female survival rate is 97.22%, and in the second class, it is 86.02%.

03

Part (b) Step 1. Explanation.

We can observe from the table in part (a) that the female survival rate is highest in first class (97.22%) and lowest in third class (46.06%).

However, when it comes to men, the second class (8.33 percent) has the lowest survival rate, while the third class (16.23 percent) has the highest.

As a result, in all three classes of travel, the same relationship does not hold for both males and girls.

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