Question: A cosmetic firm hypothesizes that the population in a given area of the country has hair colors in the following distribution 3 20% blond, 50% brown, 25% black, and 5% red Seven hundred people were observed and their hair color is recorded. Given the data below, use the chi-square hypothesis test for goodness of fit to check the claim that the actual hair color distribution follows the hypothesized pattern at a = .05

H₀ :

H₁ :

Critical Value:

Test statistic and value:

Decision rule (written and drawing):

Decision: