1.Recent studies have investigated the relationship between gender and career advancement. The following data represent a random sample of mathematicians classified by gender and academic rank. Using the following data, test for a relationship between gender and academic rank. a. State the null and alternative hypotheses (2 pts). b. Calculate the test statistic and determine the critical value (10 pts) c. Determine whether your results are significant – indicate how you know (2 pts) d. State your conclusions in one or two sentences. (2 pts) Academic Rank InstructorAssistant ProfessorAssociate ProfessorFull ProfessorTotal Female121518752 Male2125302298 Total33404829150 g