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In: Statistics and Probability

The sinking of the RMS Titanic is one of the most infamous shipwrecks in history. On...

The sinking of the RMS Titanic is one of the most infamous shipwrecks in history. On April 15, 1912, during her maiden voyage, the Titanic sank after colliding with an iceberg.

pclass, survived, sex, age

1,1,female,29

1,1,male,0.9167

1,0,female,2

1,0,male,30

1,0,female,25

1,1,male,48

1,1,female,63

1,0,male,39

1,1,female,53

1,0,male,71

2,0,male,21

2,1,male,8

2,0,male,18

2,1,female,48

2,1,female,28

2,0,male,32

2,0,male,17

2,0,male,29

2,1,female,24

2,0,male,25

3,1,male,29

3,0,male,0.3333

3,0,male,34

3,0,female,28

3,0,male,27

3,0,male,25

3,0,male,24

3,0,male,22

3,0,male,21

3,0,male,17

3,1,male,36.5

3,1,female,36

3,1,male,30

3,0,male,16

3,1,male,1

3,1,female,0.1667

3,0,male,26

3,1,female,33

3,0,male,25

3,0,male,22

3,0,male,36

3,1,female,19

3,0,male,17

3,0,male,42

  1. According to an article in Newsweek, the survival rate is only 32% on Titanic. Suppose you don’t believe the reported figures, you thought the survival rate is lower than this. How could you conduct a study to verify your hypothesis?
  1. Calculate a 95% interval to estimate the survival proportion for female.
  2. Calculate a 95% interval to estimate the survival proportion for male. Do you think female have higher chance to survive in this disaster?

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