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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

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Calculate the X² statistic then compare it with the critical value to determine if we will reject or fail to reject the null hypothesis that "There is no difference in the proportion of students that choose STEM, Social Sciences and Liberal Arts"
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 ●
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

Given that,

The sample size 

n=50

The level of significance

α=0.05

The student chooses the following categories.

STEM=20Social Sciences=20Liberal Arts=10

The test statistics is 

T=∑f0i2fei-n

foi are observed frequencies

fei are expected frequencies

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