Problem

Suppose the data to the right represent Male Female Child Total the survival data for the a certain ship that sank. The Survived $243 \quad 396$ 79 718 males are adult males and the Died 1,099 72 53 1,224 females are adult females. Complete parts (a) Total 1,342 468 132 1,942 through (j). (i) Do you think the adage "women and children first" was adhered to on this ship? A. No, because the survival rate for men was about the same as the survival rates for women and children. B. Yes, because the survival rate for men was much lower than the survival rates for women and children. c. No, because the survival rate for men was higher than the survival rates for women and children.

Solution

Step 1 :Given the data, we have the following numbers of survivors and total people for men, women, and children:

Step 2 :\(\text{Survived Men} = 243\)

Step 3 :\(\text{Total Men} = 1342\)

Step 4 :\(\text{Survived Women} = 396\)

Step 5 :\(\text{Total Women} = 468\)

Step 6 :\(\text{Survived Children} = 79\)

Step 7 :\(\text{Total Children} = 132\)

Step 8 :We calculate the survival rates as the number of survivors divided by the total number of people in each category:

Step 9 :\(\text{Survival Rate Men} = \frac{\text{Survived Men}}{\text{Total Men}} = 0.181\)

Step 10 :\(\text{Survival Rate Women} = \frac{\text{Survived Women}}{\text{Total Women}} = 0.846\)

Step 11 :\(\text{Survival Rate Children} = \frac{\text{Survived Children}}{\text{Total Children}} = 0.598\)

Step 12 :Comparing the survival rates, we see that the survival rate for men is significantly lower than the survival rates for women and children.

Step 13 :This suggests that the adage 'women and children first' was likely adhered to on this ship.

Step 14 :Final Answer: \(\boxed{\text{B. Yes, because the survival rate for men was much lower than the survival rates for women and children.}}\)

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