ZuoTi.Pro
Question

(12) Independence Test χ2. In Star Trek fandom, there is a running joke that characters on the show who wear a red shirt are doomed, just another statistic. Shirt colors can be only blue, gold, or red; fatalities (a) Is there sufficient evidence determine whether there is an association between shirt color and (b) State the kind of error that could have been made. DESCRIBE IT IN CONTEXT OF THE can be only dead or alive. deaths? DATA Shirt.Colour Survival Blue Red Gold Total Alive 129 215 46 390 Dead 7 24 9 40 Total 136 239 55 430 Star Trek survival by shirt colour
math   Statistics-And-Probability   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1


Answer Date: 13/12/2018 a) To test the hypothesis is that there is an association between shirt color and deaths at 5% significancelevel. The null and alternative hypothesis is, The null hypothesis is that there is no association between shirt color and deaths. The alternative hypothesis is that there is an association between shirt color and deaths The chi-square statisticsis, By using Excel softwa re, find chi-square test statistics with the help of following steps 1) import the data. 2) Select Contingency table from Chi-Square in MegaStat option from Add-Ins menu. 3) Select Chi-Square and Expected frequencies in Output options 4) Click Ok.Chi-square Contingency Table Test for Independence Blue 129 123.35 Gold 46 49.88 Alive Observed Expected Dead Observed Expected Total Observed Expected Red 215 216.77 24 22.23 239 239.00 Total 390 390.00 40 40.00 430 430.00 12.65 136 136.00 5.12 55.00 6.189 chi-square 2 df 0453 p-value From the Excel output, the chi-square test statistic is 6.189 The p-value is, From the Excel output, thep-value is 0.0453. The p-value is 0.0453Decision The conclusion is that the significant p-value is less than 0.05 which is 0.0453, so the null hypothesis is rejected at 5% level of significance. There is sufficient evidence to indicate that there is an association between shirt color and deaths. The result is statistically significant. b) The type I error could have been made. Type I error is when null hypothesis which there is no association between shirt color and deaths is rejected when it is true.

0 0
Add a comment
Know the answer?
Add Answer to:
(12) Independence Test χ2. In Star Trek fandom, there is a running joke that characters on...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • please show all work 15. In the original Star Trek, characters were separated by their rank...

    please show all work 15. In the original Star Trek, characters were separated by their rank and station on the Enterprise via differently colored uniforms. We wish to determine whether a character dying on the show was independent of their uniform color. The data on the number of characters seen with each color of uniform, along with whether they died, are given below. Alive Dead Blue 1297 Gold 469 Red 215 24 (a) Which test is appropriate? Why? (b) Write...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
Active Questions
ADVERTISEMENT