4. In a study of turtles and egg-laying, researchers examined colors of eggshells. An egg can either be white or dark-green. They considered just those clutches with three eggs. The eggs within a single clutch may be a mixture of white and dark-green eggs. The researchers want to know if the probability distribution of dark-green eggs in Segg clutches follows a binomial distribution. The results of a survey of 62 clutches is shown in the table below. Number of dark-green eggs I] 1 2 3 Total Observed [# of clutches] 25 23 12 2 52 Expected [it of clutches} 22.1 1.4 52 a. alculate the fraction of dark-green eggs in this study. {Remember that each clutch has 3 eggs} [4} b. Fill in the two missing expected values in the table above. {With your estimate of the fraction of dark- green eggs, and assuming a binomial distribution, you should calculate the expected frequency of clutches with III and 2 dark-green eggs, respectively} Show your calculations here, and put the expected counts into the table above. [4] c. Write an expression with numbers in it for the test statistic value. This expression should have all the information needed to calculate the statistic. [Ex [3*41f2 +3]. You do not need to calculate this quantity. {We are trying to save you time here.} [4}