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3. [-/23 Points] DETAILS MINTROSTAT9 9.E.049. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER the result A survey of 13,314 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 Field of Number of Time of Entry Study Students Right After High School Later Trades 962 34% 66% Design 524 47% 53% Health 5015 40% 60% Media/IT 3148 31% 69% Service 1390 36% 640 Other 2275 52% 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-- V ) with % of these students. The least popular field of study is (-Select-- V ) with % of these students. Overall |% of these students enrolled right after high school. (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: o Ho: There is an association between field of study and number of students. O 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. O Ho: There is not an association between field of study and number of students O Ho: There is not an association between field of study and when students enter college. Alternative Hypothesis: O Ha: There is an association between field of study and number of students. O Ha: There is an association between field of study and when students enter college. O Ha: There is an association between when students enter college and number of students. O Ha: There is not an association between field of study and number of students. O Ha: There is not an association between field of study and when students enter college. State the x statistic, degrees of freedom, and the P-value. (Round your answer for x"to one decimal place and your P-value to four decimal places.) 2= 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. o We do not have sufficient evidence to conclude that there is an association between field of study and number of students. o We do not have sufficient evidence to conclude that there is an association between field of study and when students enter college
