Question
Chapter 11. Do the actual majors chosen by females fit the distribution of the expected majors at XYZ University? In an effort to answer this
Chapter 11. Do the actual majors chosen by females fit the distribution of the expected majors at XYZ University? In an effort to answer this question, a researcher collected information from 5000 females regarding what they chose as their majors as shown in the table below. The researcher also collected what the expectations of the University were in terms of the percentage of females they expected to be choosing each type of major. Conduct a Chi-squared test to measure the Goodness-of-fit at the 95% level of confidence. Round answers to 2 places after decimal point.
HINT: This problem is similar to the Goodness-of-fit example discussed in the notes/textbook. You will need to find the actual "numbers" based on expected percentages.
Major | Expected % | Observed |
Arts, Humanities, Education | 27.00% | 1320 |
STEM | 14.00% | 695 |
Social Sciences & Business | 26.10% | 1290 |
Professional | 18.90% | 975 |
Other | 5.80% | 300 |
Undecided | 8.00% | 420 |
- The Ho for this problem is "Actual college majors chosen by females fit the distribution of the expected majors." (write "True" or "False" in the blank):
- The calculated Chi-squared value is:
- The critical chi-squared value is:
- We reject the null hypothesis after the test (Write "True" or "False" in the blank):
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started