MAre you headed for college?Choosing the right type of chi-square testNoGoing to college?YesChi-Square Test: Student, TeacherExpected counts are printed below observed countsChi-Square contributions are printed below expected countsStudentTeacherTotal1420.5-Student2.06136-PROBLEM:A curious AP® Statistics student wondered if students in her high school would responddifferently to a teacher than to a student when asked about their intention to go to collegeafter high school. One hundred students from her high school volunteered to participate inan experiment, and they were randomly assigned to have either a student or a teacherinterview them. This two-way table summarizes the data.InterviewerTeacher2720.52.061400-Yes1427No3623Total5050100Assume that the conditions for performing inference are met. Minitab output for a chi-square test using these data is shown.2329.51.43250200-Total416SKILLS 1.E, 4.E.Total4159•591002040608029.51.43250Chi-Sq = 6.986, DF = 1, P-Value = 0.008(a) Should a chi-square test for independence or a chi-square test for homogeneity be usedin this setting? Explain your reasoning.(b) State an appropriate pair of hypotheses for researchers to test in this setting.100OBFW High School Publishers 2020(c) Which cell contributes most to the chi-square test statistic? In what way does this celldiffer from what the null hypothesis suggests?(d) Interpret the P-value in context. What conclusion would you draw at a=0.01?with ajal

The Chi-square test for homogeneity is essentially assumed to validate if two or more multinomial…

(a) Should a chi-square test for independence or a chi-square test for homogeneity be used in this setting? Explain your reasoning. (b) State an appropriate pair of hypotheses for researchers to test in this setting. OBFW High School Publishers 2020 (c) Which cell contributes most to the chi-square test statistic? In what way does this cell differ from what the null hypothesis suggests? (d) Interpret the P-value in context. What conclusion would you draw at a=0.01?