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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

  1. 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):
  2. The calculated Chi-squared value is:
  3. The critical chi-squared value is:
  4. We reject the null hypothesis after the test (Write "True" or "False" in the blank):

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