A soft drink company claims that three out of four people pr

A soft drink company claims that three out of four people prefer the taste of their cola (Brand A) over their competitor (Brand B). You conduct a taste test and find that 63 people indicated they preferred Brand A. The remaining 38 people said they preferred Brand B. For a one-way chi-square test, what is 2obs?

Solution

we have 63+38 = 101 /2 = 50.5

X^2 = (63 - 50.5)^2 / 50.5 + (38-50.5)^2 / 50.5

X^2 = 3.094 + 3.094

X^2 = 6.188