1. How detrimental are metal tags to penguins? A study looked at the 10 year survival rate of penguins tagged either with a metal tag or an electronic tag. We are interested in testing whether the type of tag has an effect on penguin survival rate. In the study, 33 of the 167 metal-tagged penguins survived while 68 of the 189 electronic-tagged penguins survived. a. Perform a Z-test to determine whether the type of tag has an effect on penguin survival rate. Report the null and alternative hypotheses, test statistic, p-value and conclusion. b. Perform the Chi-square test to assess whether the type of tag has an effect on penguin survival rate. Report the null and alternative hypotheses, expected table, test statistic, p-value and conclusion