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Conduct a goodness-of-fit test to determine if the actual college majors of graduating females fit the distribution of their expected majors.

Short Answer

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The actual college majors of graduating females fit the distribution of their expected majors.

Step by step solution

01

Step 1. Given information

Total frequency: \(=5000\)

02

Step 2. Calculation

\(H_{0}\) The actual college majors of graduating females fit the distribution of their expected majors

\(H_{a}\) The actual college majors of graduating females do not fit the distribution of their expected majors.

\(df=11-1=10\)

\(\chi ^{2}=11.48\)

\(\alpha=0.05\) or \(\alpha=0.01\)

\(p=0.3211\)

Since \(p\) value \(>\alpha\), the null hypothesis is not rejected. Therefore the actual college majors of graduating females fit the distribution of their expected majors.

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