Asked by Zachary Alford on Jun 03, 2024

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In 2002, 40% of the students at a major university were Business majors, 35% were Engineering majors, and the rest of the students were majoring in other fields.In a sample of 600 students from the same university taken in 2003, 200 were Business majors, 220 were Engineering majors, and the remaining students in the sample were majoring in other fields.Using α = .01, test to see if there has been a significant change in the proportions between 2002 and 2003.

Significant Change

A statistically determined change in data or results that is unlikely to have occurred by chance alone, indicating a meaningful difference or effect.

Proportions

A comparison of a part of a whole in terms of a simple ratio or fraction, often expressed as a percentage.

Business Majors

Students or professionals focusing on business administration or management studies, including subjects like finance, marketing, and entrepreneurship.

  • Understand the method and significance of test statistics during hypothesis analysis.
  • Implement tests for hypotheses concerning proportions and interpret the implications.
  • Compose null and alternative hypotheses for statistical assessments.
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Pierre GérardJun 10, 2024
Final Answer :
χ2 = 13.15 (rounded); p-value is less than .005; thus, reject H0 and conclude there has been a significant change.