Question

Objective 50a A certain plant when self-pollinated produced 400 offspring, 317 of which had white flowers and 83 of which had colored flowers. Demonstrate through the use of Chi-square whether this segregation fits better a ratio of 3:1 or 13:3. Explain

Answer 1

null hypothesis:Ho: there is a 3:1 ratio of white to colored flower.

alternate hypothesis:Ha: ratio of white to colored flower. is different from 3:!.

degree of freedom =categories-1=

1

for 0.05 level and 1 degree of freedom :rejection region =

3.841

applying chi square goodness of fit test:

		observed	Expected		Chi square
category	Probability(p)	Oi	Ei=total*p		R2i=(Oi-Ei)2/Ei
white	0.750	317.000	300.000		0.963
colored	0.250	83.000	100.000		2.890
total	1.000	400	400		3.853

Decision:as test statitic 3.853 is in rejection region we reject null hypothesis

Conclusion: we have sufficient evidence at 5% level to conclude that there is a significant difference in proprotion of white to colored flowers from 3:1.