Newspaper headlines at the time and traditional wisdom in the succeeding decades have held that women and children escaped a sunken ship in greater proportion than men.​ Here's a table with the relevant data. Do you think that survival was independent of whether the person was male or​ female? Defend your conclusion. A. Is there evidence of a significant difference between the proportion of males and females who survived at the 0.005 level of​ significance? What are the null and alternative hypotheses to​ test? B. Are the conditions for inference​ satisfied? C. Calculate the test statistic D. Determine the P-value and interpret the meaning E. Reject or Fail to Reject and why?

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Newspaper headlines at the time and traditional wisdom in the succeeding decades have held that women and children escaped a sunken ship in greater proportion than men.​ Here's a table with the relevant data. Do you think that survival was independent of whether the person was male or​ female? Defend your conclusion.

A. Is there evidence of a significant difference between the proportion of males and females who survived at the 0.005 level of​ significance? What are the null and alternative hypotheses to​ test?

B. Are the conditions for inference​ satisfied?

C. Calculate the test statistic

D. Determine the P-value and interpret the meaning

E. Reject or Fail to Reject and why?

This table presents a summary of survival data differentiated by gender. It consists of two main categories: "Alive" and "Dead," with subtotals provided for each gender as well as an overall total. Here's a detailed breakdown:

- **Alive**
  - **Female:** 364
  - **Male:** 277
  - **Total Alive:** 641

- **Dead**
  - **Female:** 132
  - **Male:** 1,377
  - **Total Dead:** 1,509

- **Grand Total**
  - **Female Participants:** 496
  - **Male Participants:** 1,654
  - **Overall Total Participants:** 2,150

The table clearly indicates the gender distribution in terms of survival outcomes within the given dataset.
Transcribed Image Text:This table presents a summary of survival data differentiated by gender. It consists of two main categories: "Alive" and "Dead," with subtotals provided for each gender as well as an overall total. Here's a detailed breakdown: - **Alive** - **Female:** 364 - **Male:** 277 - **Total Alive:** 641 - **Dead** - **Female:** 132 - **Male:** 1,377 - **Total Dead:** 1,509 - **Grand Total** - **Female Participants:** 496 - **Male Participants:** 1,654 - **Overall Total Participants:** 2,150 The table clearly indicates the gender distribution in terms of survival outcomes within the given dataset.
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