In: Statistics and Probability
Is the choice of college major independent of grade average? A random sample of 445 students were surveyed by the Registrar’s Office regarding major field of study and grade point average. In this study, only students with passing grades were included in the survey. Grade point averages were rounded to the nearest letter grade. Use = 0.05 to test the claim that choice of major field is independent of grade average.
Grade Average |
Grade Average |
Grade Average |
||
Major |
A |
B |
C |
Row Total |
Science |
38 |
49 |
63 |
150 |
Business |
41 |
42 |
59 |
142 |
Humanities |
32 |
53 |
68 |
153 |
Column Total |
111 |
144 |
190 |
445 |
State the null and alternate hypothesis
Identify the appropriate sampling distribution: Chi-square test of independence, Chi-square goodness of fit, or Chi-square for testing or estimating σ2 or σ. What is the value of the sample test statistic?
Find or estimate the P-value.
Based on your answers for parts (a) through (c), will you reject or fail to reject the null hypothesis?