Question

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

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

Step-by-step solution

Step 1. Given information

Total frequency: $=5000$

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.