According to the 2019 U.S. Census Bureau estimates, 63.4% of the U.S. self-identifies as Non-Hispanic white, 15.3% as Hispanic and Latino, 13.4% as Black or African American, 5.9% as Asian, and 2.0% as Other. A random sample of 1000 students graduating from California colleges and universities resulted in the following data on self-identified race: You would like to determine if the distribution of self-identified race among California college and university students differs from the distribution of self-identified race in the U.S. overall.
-Based upon a p-value of less than 0.001, what is an appropriate conclusion for the goodness-of-fit test?
A) We do not have strong evidence that the distribution of self-identified race among California college and university students differs from the distribution of self-identified race in the U.S. overall.
B) We have strong evidence that the distribution of self-identified race among California college and university students differs from the distribution of self-identified race in the U.S. overall.
C) We have strong evidence that the distribution of self-identified race among California college and university students is the same as the distribution of self-identified race in the U.S. overall.
D) We have strong evidence that the probabilities of each self-identified race among California college and university students are not all equal.

Question

According to the 2019 U.S. Census Bureau estimates, 63.4% of the U.S. self-identifies as Non-Hispanic white, 15.3% as Hispanic and Latino, 13.4% as Black or African American, 5.9% as Asian, and 2.0% as Other. A random sample of 1000 students graduating from California colleges and universities resulted in the following data on self-identified race:  You would like to determine if the distribution of self-identified race among California college and university students differs from the distribution of self-identified race in the U.S. overall.
-Based upon a p-value of less than 0.001, what is an appropriate conclusion for the goodness-of-fit test?
A) We do not have strong evidence that the distribution of self-identified race among California college and university students differs from the distribution of self-identified race in the U.S. overall. 
B) We have strong evidence that the distribution of self-identified race among California college and university students differs from the distribution of self-identified race in the U.S. overall. 
C) We have strong evidence that the distribution of self-identified race among California college and university students is the same as the distribution of self-identified race in the U.S. overall. 
D) We have strong evidence that the probabilities of each self-identified race among California college and university students are not all equal.

Quizplus · Accepted Answer

A p-value of less than 0.001 indicates that there is strong evidence against the null hypothesis, which is that the distribution of self-identified race among California college and university students is the same as the distribution of self-identified race in the U.S. overall.