Before you solve Problems 6-10, first classify the problem as one of the following:
Chi-square test of independence or homogeneity
Chi-square goodness of fit
Chi-square for testing
Then in each of the problems when a test is to be performed do the following:
(i) Give the value of the level of significance. State the null and alternate hypotheses.
(ii) Find the sample test statistic.
(iii) Find or estimate the P-value of the sample test statistic.
(iv) Conclude the test.
(v) Interpret the conclusion in the context of the application.
Teacher Ratings: Grades Professor Stone complains that student teacher ratings depend on the grade the student receives. In other words, according to Professor Stone, a teacher who gives good grades gets good ratings, and a teacher who goes had grades gets had ratings. To test this claim, the Student Assembly took a random sample of 300 teacher ratings on which the student's grade fur the course also was indicated. The results are given in the following table. Test the hypothesis that teacher ratings and student grades are independent at the 0.01 level of significance.
Rating | A | B | c | f (or withdrawal) | Row Total |
Excellent | 14 | 18 | 15 | 3 | 50 |
Average | 25 | 35 | 75 | 15 | 150 |
Poof | 21 | 27 | 40 | 12 | 100 |
Column Total |
60 | 80 | 110 | 30 | 300 |
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UNDERSTANDING BASIC STAT LL BUND >A< F
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