7.40 Metal Tags on Penguins (Graded for Completeness) In Exercise 6.178 on page 403 we perform a test for the difference in the proportion of penguins who survive over a 10-year period, between...

Extracted text: 7.40 Metal Tags on Penguins (Graded for Completeness) In Exercise 6.178 on page 403 we perform a test 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 inter- ested in testing whether the type of tag has an effect on penguin survival rate, this time using a chi-square test. In the study, 33 of the 167 metal-tagged penguins survived while 68 of the 189 electronic-tagged penguins survived. (a) Create a two-way table from the information given. (b) State the null and alternative hypotheses. (c) Give a table with the expected counts for each of the four categories. (d) Calculate the chi-square test statistic. (e) Determine the p-value and state the conclusion.