A high school physics teacher wondered if his students in the senior class this year will be more likely to go into STEM majors than Social Science and Liberal Arts major. 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 What is the variable in this test? What type of variable is it, and what are the null and alternative hypothesis?
A high school physics teacher wondered if his students in the senior class this year will be more likely to go into STEM majors than Social Science and Liberal Arts major. 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 What is the variable in this test? What type of variable is it, and what are the null and alternative hypothesis?
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A high school physics teacher wondered if his students in the senior class this year will be more likely to go into STEM majors than Social Science and Liberal Arts major. 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
What is the variable in this test? What type of variable is it, and what are the null and alternative hypothesis?
Expert Solution
Step 1: Given information:
The chi-square test for goodness of fit was conducted by the high school physics teacher.
The observed frequencies are as follows:
| Majors | number of Students. |
| STEM | 20 |
| Social Sciences | 20 |
| Liberal Arts | 10 |
The total number of observations is 50.
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