Question

In the original Star Trek series with Captain Kirk, the crew members of the U.S.S. Enterprise who wear red shirts have a reputation for dying more frequently than those who wear blue or gold shirts. A sample has been obtained to see if this reputation is valid - is there an association between shirt colour and fatalities?

	Blue	Gold	Red
Dead	9	8	29
Alive	121	45	217

Compute the expected number of red shirts who remain alive. Round the value to one decimal place.

Answer:  

Answer 1

I have used MINITAB software

Steps

1. Enter the data   
2. Stat-Tables-Chi Square test for association
3. 
4. ok

MINITAB output

The null hypothesis

H₀: No association exists between shirt colour and fatalities

The alternative hypothesis

H₁:  Association between shirt colour and fatalities exists

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the expected number of red shirts who remain alive is

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The chi square test statistic fro the minitab output we get = 3.311 with 2 df and p value =0.191

As p value is large we accept H0we can say that there is no  association between shirt colour and fatalities.

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