Question

# Metal Tags on Penguins A test is performed for the difference in the proportion of penguins...

Metal Tags on Penguins

A test is performed for the difference in the proportion of penguins who survive over a 10-year period, between penguins tagged with metal tags and those tagged with electronic tags. We are interested in testing whether the type of tag has an effect on penguin survival rate, this time using a chi-square test. In the study, 34 of the 154 metal-tagged penguins survived while 61 of the 177 electronic-tagged penguins survived.

(a) Create a two-way table from the information given.

(b) Give a table with the expected counts for each of the four categories.

 Metal Electronic Survived Enter your answer in accordance to item (b) of the question statement Enter your answer in accordance to item (b) of the question statement Died Enter your answer in accordance to item (b) of the question statement Enter your answer in accordance to item (b) of the question statement

(c) Calculate the chi-square test statistic.

chi-square statistic = Enter your answer in accordance to item (c) of the question statement

(d) Determine the p-value and state the conclusion.

p-value = Enter your answer in accordance to item (d) of the question statement

Conclusion: Choose the answer from the menu in accordance to item (d) of the question statement                                                          RejectDo not reject H0.

Is survival rate related to the type of tag?

Choose the answer from the menu in accordance to item (d) of the question statement                                                          YesNo

a)

 Oi Metal Electronic Total survived 34 61 95 Died 120 116 236 total 154 177 331

b)

 Ei=row total*column total/grand total Metal Electronic survived 44.20 50.80 Died 109.80 126.20

c)

applying chi square test:

 chi square    χ2 =(Oi-Ei)2/Ei Metal Electronic Total survived 2.3536 2.0478 4.401 Died 0.9474 0.8243 1.772 total 3.301 2.872 6.173

chi-square test statistic =6.2

d)

p value =0.013

reject Ho , if level of significance is greater than 0.013

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