Question

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59 101 45 A breakfast chain that is popular in California is hoping to determine if kids (under the age of 18) and adults (18 and older) have different breakfast preferences? The breakfasts ordered by randomly selected kids and adults at a popular breakfast chain in California are shown below. Frequencies of Breakfasts for kids and Adults French Toast Pancakes Waffles Omelets Adults 93 92 86 Kids 73 68 What can be concluded at the a -0.01 significance level? a. What is the correct statistical test to use? O Paired t-test O Independence Homogeneity Goodness-of-Fit b. What are the null and alternative hypotheses? HO: O Breakfast ordered and age are independent. Breakfast ordered and age are dependent O The distribution of breakfast ordered for kids is the same as it is for adults. The distribution of breakfast ordered for kids is not the same as it is for adults. H: Breakfast ordered and age are dependent O The distribution of breakfast ordered for kids is the same as it is for adults. O Breakfast ordered and age are independent. The distribution of breakfast ordered for kids is not the same as it is for adults. C. The test statistic for this data = (Please round your answer to three decimal places.)

Answer 1

Homogeneity

b)

Ho:

The distribution of breakfast ordered for kids is the same as it is for adults.

Ha:

O The distribution of breakfast ordered for kids is not the same as it is for adults.

c)

Applying chi square test of homogeneity

Expected	Ei=row total*column total/grand total	French Toast	Pancakes	Waffles	Omelets	Total
	Adults	88.7844	67.9254	103.2253	70.0648	330
	Kids	77.2156	59.0746	89.7747	60.9352	287
	total	166	127	193	131	617
chi square    χ2	=(Oi-Ei)2/Ei	French Toast	Pancakes	Waffles	Omelets	Total
	Adults	0.200	1.173	1.221	3.624	6.2179
	Kids	0.230	1.349	1.404	4.167	7.1495
	total	0.4303	2.5213	2.6243	7.7914	13.3674
test statistic X2=		13.367

d)

p value =

0.0039

from excel: chidist(13.3674,3)

e)

p value is less than α

f)

reject the null

g)

There is sufficient evidence to conclude that the distribution of breakfast ordered for kids is not the same as it is for adults