EBK INTRODUCTION TO THE PRACTICE OF STA
EBK INTRODUCTION TO THE PRACTICE OF STA
8th Edition
ISBN: 9781319116828
Author: Moore
Publisher: VST
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Chapter 2, Problem 146E
To determine

To find: The relationship between survival and sex and summary of the output.

Expert Solution & Answer
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Answer to Problem 146E

Solution: There is 0.529 correlation between survival and sex and the conditional distribution of survival and nonsurvival of male and female is provided below:

Sex

Survived

Not survived

Female

0.725

0.274

Male

0.191

0.808

Explanation of Solution

Given: A data regarding the survival and nonsurvival of male and female of TITANIC passenger is provided and this has been categorized with respect of their sex, which is mentioned below in tabular form:

Category

Survived

Not survived

Total

Female

339

128

467

Male

161

681

842

Total

500

809

1309

Calculation: The conditional distribution is obtained by dividing the row or column elements by the sum of that row or column observation. The conditional distribution of both the sex of their survival and nonsurvival is provided below:

Sex

Survived

Not survived

Total

Female

339467=0.726

128467=0.274

1

Male

161842=0.191

681842=0.809

1

The correlation of the sex and the survival can be calculated by using the software SPSS by following steps:

Step 1: Insert the data into the worksheet.

Step 2: Go to Transform Recode into same variable Select “sex” in Numeric Variables click on Old and New Values.

Step 3: In ‘Old Value’ column, write “male” and in ‘New Value’ column write “1”. After this click on ‘Add’, and again go to the ‘Old Value’ column write “female” and in ‘New Value’ column write “2”.

Step 4: Click on the button “Continue” and click OK.

Step 5: Go to Analyze Correlate Bivariate.

Step 6: Select “Survived” and “Sex” in Variables column.

Step 7: Click OK.

After implementing these steps, the correlation between survived and sex will appear in the output window, which is 0.529.

Interpretation: The Survival and Sex are 52.9% correlated and 72.6% female survived and 19.1% male survived. Also, 27.4% female could not survive and 80.9% male could not survive. Hence, it can be concluded that the survival rate of females in Titanic was more in comparison to the male survival rate.

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Chapter 2 Solutions

EBK INTRODUCTION TO THE PRACTICE OF STA

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