Chi-Square Test for Goodness of Fit

Q2) Chi-Square Test for Goodness of Fit (10 points) A high school physics teacher wondered if…

Q2) Chi-Square Test for Goodness of Fit (10 points)

A high school physics teacher wondered if his students in the senior class this year will be more likely 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. What is the variable in this test? What type of variable is it (nominal, ordinal, or continuous)? (2 point total: 1 for each question)

b. State the null and alternative hypotheses in words (2 points total: 1 for each hypothesis)

c. Calculate X2 statistic (3 points total: give 2 points if process is correct but final answer is wrong)