A survey of 13,294 students in a country who enrolled in private career colleges was conducted to understand student participation in the private postsecondary educational system. In one part of the survey, students were asked about their field of study and about when they entered college. Here are the results. Field of Number of Study Students Time of Entry Right After High School Later Trades 922 34% 66% Design 514 47% 53% Health 5085 40% 60% Media/IT 3178 31% 69% Service 1340 Other 2255 36% 52% 64% 48% In this table, the second column gives the number of students in each field of study. The next two columns give the marginal distribution of time of entry for each field of study. (a) Use the data provided to make the 6 x 2 table of counts for this problem. Time of Entry Field of Study Right After High School Later Trades Design Health Media/IT Service Other (b) Analyze the data. (Round your numerical answers to one decimal place.) The most popular field of study is ---Select--- is ---Select---with high school. with % of these students. Overall % of these students. The least popular field of study % of these students enrolled right after (c) Write a summary of your conclusions. Be sure to include the results of your significance testing. (Use a = 0.01.) State the null and alternative hypotheses. Null Hypothesis: Ho: There is an association between field of study and number of students. Ho: There is an association between field of study and when students enter college. Ho: There is an association between when students enter college and number of students. Ho: There is not an association between field of study and number of students. Ho: There is not an association between field of study and when students enter college. Alternative Hypothesis: Ha: There is an association between field of study and number of students. Ha: There is an association between field of study and when students enter college. Ha: There is an association between when students enter college and number of students. Ha: There is not an association between field of study and number of students. Ha: There is not an association between field of study and when students enter college. State the x² statistic, degrees of freedom, and the P-value. (Round your answer for x² to one decimal place and your P-value to four decimal places.) x²= df= P-value = Conclusion: We have sufficient evidence to conclude that there is an association between field of study and number of students. We have sufficient evidence to conclude that there is an association between field of study and when students enter college. We have sufficient evidence to conclude that there is an association between when students enter college and number of students. We do not have sufficient evidence to conclude that there is an association between field of study and number of students. We do not have sufficient evidence to conclude that there is an association between field of study and when students enter college.