A high school physics teacher wondered if his students in the senior class this year will be more likely PSY230 Miller Spring A 2023 to go into STEM (Science, Technology, Engineering, Mathematics) majors than Social Science and Liberal Arts majors. He asked each of his 50 students about their first choice for major on their college applications and conducted a Chi-square test for goodness of fit with an alpha level of .05 to see if the number of students choosing each category differs significantly. 20-STEM 20-Social Sciences 10- Liberal Arts
A high school physics teacher wondered if his students in the senior class this year will be more likely PSY230 Miller Spring A 2023 to go into STEM (Science, Technology, Engineering, Mathematics) majors than Social Science and Liberal Arts majors. He asked each of his 50 students about their first choice for major on their college applications and conducted a Chi-square test for goodness of fit with an alpha level of .05 to see if the number of students choosing each category differs significantly. 20-STEM 20-Social Sciences 10- Liberal Arts
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Calculate the X² statistic, degree of freedom and critical value.
Transcribed Image Text:A high school physics teacher wondered if his students in the senior class this year will be more likely
PSY230 Miller
to go into STEM (Science, Technology, Engineering, Mathematics) majors than Social Science and
Liberal Arts majors. He asked each of his 50 students about their first choice for major on their college
applications and conducted a Chi-square test for goodness of fit with an alpha level of .05 to see if the
number of students choosing each category differs significantly.
20 - STEM
20 - Social Sciences
10- Liberal Arts
●
Spring A 2023
●
Expert Solution
Step 1
In categorical data, the goodness of fit is measured by conducting a chi-square test. The chi-square test statistic is calculated by the given formula
where O is the observed frequency and E is the expected frequency.
The test statistic has the chi-square distribution with k-1 degrees of freedom where k is the number of classes.
The degrees of freedom is k-1 where k is the number of classes.
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