(Steps Shown) A cosmetic firm hypothesizes that the population in a given area of the country has hair colors in the following distribution 3 20% blond,
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
| Category | Blond | Brown | Black | Red | Total |
| 120 | 385 | 180 | 15 | ||
H 0 :
H 1 :
Critical Value:
Test statistic and value:
Decision rule (written and drawing):
Decision:
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