Question

A certain type of flower seed will produce magenta, chartreuse, and ochre flowers in the ratio...

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.

Magenta Chartreuse Ochre
56 25 19

(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 chi-square?


(c) Complete the hypothesis test using α = 0.10.
(i) Find the test statistic. (Give your answer correct to two decimal places.)


(ii) Find the p-value. (Give your answer bounds exactly.)
________< p < ____________


(iii) State the appropriate conclusion.


Reject the null hypothesis, there is significant evidence of a difference from the expected proportions.

Reject the null hypothesis, there is not significant evidence of a difference from the expected proportions.    

Fail to reject the null hypothesis, there is significant evidence of a difference from the expected proportions

Fail to reject the null hypothesis, there is not significant evidence of a difference from the expected proportions.

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