Question

Chapter 7, Section 2, Exercise 040acde 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, 38 of the 162 metal-tagged penguins survived while 65 of the 185 electronic-tagged penguins survived. (a) Create a two-way table from the information given. Metal Electronic Total Survived Died Total (b) Give a table with the expected counts for each of the four categories. Round your answers to two decimal places. Metal Electronic Survived Died (c) Calculate the chi-square test statistic. Round your answer to one decimal place. chi-square statisticequals (d) Determine the p-value and state the conclusion. Round your answer to three decimal places. p-valueequals Conclusion: Upper H Subscript 0. Is survival rate related to the type of tag?

Answer 1

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

Answer:

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

Answer: The expected counts table is given below:

(c) Calculate the chi-square test statistic.

Answer: The chi-square test statistic is given below:

  

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

Answer:

Conclusion: We are not given significance level here. Assuming

Reject at . The survival rate is related to the type of tag.