Statistics Unit 11 Chapter 20Test Name 2. Compare the class rosters printed for

Question

Statistics Unit 11 Chapter 20Test Name 2. Compare the class rosters printed for the first day of school to the class rosters printed at the end of the school year. It is not surprising to see that they are very different. Schedule changes are a common Reason Count Schedule Redo 25 Conflict with Teacher occurrence at the high school. Typically, there are Struggle with Materia 8 three main reasons for a student to leave a class a schedule re-do, conflict with the teacher, and struggle with the material. One long-time counselor believes that the breakdown ofthe reasons are 40%, 30%, and 30%, respectively. A random sample of students who had dropped at least one class led to the data presented in the table to the right. Use the four-step process to test whether the reasons for dropping a class are distributed as the counselor has stated.

Explanation / Answer

Ans:Chi square test of Goodness of fit:

H0: The data is consistent with a specified distribution.

Ha: The data is not consistent with a specified distribution.

Calculated chi square score=8.48

degree of freedom=3-1=2

p-value= P(2 > 8.48) = 0.0144

As,p-value<0.05,We reject the null hypothesis and accept alternate hypothesis that means observed distribution is not consistent with a specified or expected distribution.

Reasons Observed(O) Expected(E) (O-E)^2/E schedule Redo 25 0.4*40=16 5.06 Conflict with teacher 7 0.3*40=12 2.08 Struggle with material 8 0.3*40=12 1.33 40 40 8.48

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