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
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
Related questions
Question
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"
Expert Solution
Step 1
Given that,
The sample size
The level of significance
The student chooses the following categories.
The test statistics is
are observed frequencies
are expected frequencies
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