A statistics instructor would like to know whether it is worthwhile to require students to do weekly homework assignments.  For Section1 of the course, homework is assigned, collected and graded each week.  In Section2, students are not required to turn in homework.  At the end of the semester, the students are given the same final exam.  In Section1, the numbers of students getting each grade are: 16 students got A, 22 students got B, 8 students got C, and 4 students got D.  In Section2, the numbers of students getting each grade are: 8 students got A, 18 students got B, 18 students got C, and 6 students got D.  Is there an association between assigning homework and exam grade?  Test at the alpha = 0.05 level.     a. We reject the null hypothesis with two-tailed critical values; there is an association between assigning homework and exam grade.   b. We reject the null hypothesis with one-tailed critical value; there is an association between assigning homework and exam grade.   c. We fail to reject the null hypothesis with one-tailed critical value; there is no association between assigning homework and exam grade.   d. We fail to reject the null hypothesis with two-tailed critical values; there is no association between assigning homework and exam grade.   e. We reject the null hypothesis; there is an association between assigning homework and exam grade.   f. We fail to reject the null hypothesis; there is no association between assigning homework and exam grade.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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A statistics instructor would like to know whether it is worthwhile to require students to do weekly homework assignments.  For Section1 of the course, homework is assigned, collected and graded each week.  In Section2, students are not required to turn in homework.  At the end of the semester, the students are given the same final exam.  In Section1, the numbers of students getting each grade are: 16 students got A, 22 students got B, 8 students got C, and 4 students got D.  In Section2, the numbers of students getting each grade are: 8 students got A, 18 students got B, 18 students got C, and 6 students got D.  Is there an association between assigning homework and exam grade?  Test at the alpha = 0.05 level.  

  a.

We reject the null hypothesis with two-tailed critical values; there is an association between assigning homework and exam grade.

  b.

We reject the null hypothesis with one-tailed critical value; there is an association between assigning homework and exam grade.

  c.

We fail to reject the null hypothesis with one-tailed critical value; there is no association between assigning homework and exam grade.

  d.

We fail to reject the null hypothesis with two-tailed critical values; there is no association between assigning homework and exam grade.

  e.

We reject the null hypothesis; there is an association between assigning homework and exam grade.

  f.

We fail to reject the null hypothesis; there is no association between assigning homework and exam grade.

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