Question: A certain type of flower seed will produce magenta, chartreuse, and ochre flowers in the ratio \(6:3:1\) (one flower per seed). A total of 100 seeds are planted and all germinate, yielding the following results.

(a) If the null hypothesis (6 : 3 : 1) is true, what is the expected number of Magenta flowers?

(b) How many degrees of freedom are associated with ?

(c) Complete the hypothesis test using α = 0.10.