Question

3 Proportions Your Instructor heroically ate 5 packages of Bottlecaps Candy for Science over the Semester Cola 33 Root Beer 24 Grape 27 Cherry 25 Orange 17 Total Count 126

a) Setup a Hypothesis Test to see if each population proportion is actually 0.20

H_0:

H_A:

b) Use the “Chi-Squared Calculator” to Run the Chi-Squared Test (?_4^2=9.488) ?^2=

c) State your results

Answer 1

Ho:  each population proportion is equal to 0.20

Ha: Not all of population proportion is equal to 0.20

b)

applying chi square goodness of fit test:

		observed	Expected		Chi square
category	Probability(p)	Oi	Ei=total*p		R2i=(Oi-Ei)2/Ei
Cola	0.20	33.000	25.200		2.414
Root Beer	0.20	24.000	25.200		0.057
Grape	0.20	27.000	25.200		0.129
Cherry	0.20	25.000	25.200		0.002
Orange	0.20	17.000	25.200		2.668
total	1.000	126	126		5.270

chi square test statisitc =5.270

c)

for (categories-1=5-1=4) degree of freedom and 0.05 level critical value of chi square =9.488

as test statistic is less than critical value we can not reject null hypotheiss

we do not have sufficient evidence to conclude that not all  population proportion is 0.20