An undergraduate math course gives all the usual letter grades of A, B, C, D, or F. The department has determined that there should be 10% A's given, 30% B's given, 40% C's, 10% D's, and 10% F's given as final grades for the course. For the spring 2021 semester, 500 students took the course and 100 students received A's, 200 students received B's, 100 students received C's, 50 students received D's, and 50 students received F's, so those are my observed frequencies. We want to do a Chi- square Multinomial Goodness of Fit test to see if our grading guidelines match up with what is actually happening. What is the correct number of degrees of freedom for this hypothesis test?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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An undergraduate math course gives all the usual letter grades of A, B, C, D, or F.
The department has determined that there should be 10% A's given, 30% B's given,
40% C's, 10% D's, and 10% F's given as final grades for the course. For the spring
2021 semester, 500 students took the course and 100 students received A's, 200
students received B's, 100 students received C's, 50 students received D's, and 50
students received F's, so those are my observed frequencies. We want to do a Chi-
square Multinomial Goodness of Fit test to see if our grading guidelines match up
with what is actually happening.
What is the correct number of degrees of freedom for this hypothesis test?
Transcribed Image Text:An undergraduate math course gives all the usual letter grades of A, B, C, D, or F. The department has determined that there should be 10% A's given, 30% B's given, 40% C's, 10% D's, and 10% F's given as final grades for the course. For the spring 2021 semester, 500 students took the course and 100 students received A's, 200 students received B's, 100 students received C's, 50 students received D's, and 50 students received F's, so those are my observed frequencies. We want to do a Chi- square Multinomial Goodness of Fit test to see if our grading guidelines match up with what is actually happening. What is the correct number of degrees of freedom for this hypothesis test?
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