Stat Question:

Problem 4. It is conventional wisdom in military squadrons that pilots tend to father more girls than boys. Snyder (1961) gathered data for military fighter pilots. The sex of the pilots' offspring was tabulated for three kinds of flight duty during the month of conception, as shown in the following table. Perform a chi-squared test of homogeneity to see if the three groups of soldiers have the same girl/boy ratio. Father's Activity Flying Fighters Flying Transports Not Flying Female Offspring Male Offspring \"n a. Denote by EU the unknown cell probabilities, where i andj are row and column indices, respectively. Formulate the null hypothesis using In}. Under the null hypothesis, estimate the common cell probabilities 1:1- for the ith categories. Calculate the expected counts. Calculate the chi-squared statistic. Perform the chi-squared test and summarize your finding. Set the significance level to 5% and use the following chi-squared upper quantiles: x(0.95,2) = 6, x(0.975,2) = 7.38, x(0.95,3) = 7.81, x(0.975,3) = 9.35, x(0.95,6) = 12.6, x(0.975,6) = 14.45. 9099.6