Question

please answer entire question :)

UCLA Health Department did a study that stated that 21.7% of all Americans say that cake is their favorite dessert, 22.7% say that cookies is their favorite dessert, 8.3% favor pie, 9.1% favor milk shakes, and the rest have other favorites. A dessert shop owner, in Westwood, California, thinks that her customers are not Like the rest of America. The table below shows the results of 760 of her patrons' dessert selections. What can be concluded at the a = 0.10 significance level? a. Complete the table by filling in the expected frequencies. Round your answers to the nearest whole number. Frequencies of Favorite Dessert Outcome Frequency Expected Frequency Cake 148 Cookies 169 Pie 67 Milk Shakes 51 Other 325 b. What is the correct statistical test to use? Select an answer c. What are the null and alternative hypotheses? Ho: The distribution of favorite dessert for customers at her shop is the same as it is for Americans in general. O Favorite dessert and where the dessert is purchased are dependent. Favorite dessert and where the dessert is purchased are independent. The distribution of favorite dessert for customers at her shop is not the same as it is for Americans in general. H: The distribution of favorite dessert for customers at her shop is not the same as it is for Americans in general. O Favorite dessert and where the dessert is purchased are independent. Favorite dessert and where the dessert is purchased are dependent. The distribution of favorite dessert for customers at her shop is the same as it is for Americans in general

Answer 1

applying chi square goodness of fit test:

	relative	observed	Expected		Chi square
Category	frequency(p)	Oi	Ei=total*p		R2i=(Oi-Ei)2/Ei
1	0.217	148	165		1.736
2	0.227	169	173		0.072
3	0.083	67	63		0.244
4	0.091	51	69		4.768
5	0.382	325	290		4.143
total	1.00	760	760		10.96
test statistic X2=		10.962

b_)

goodness of fit test

c_)

Ho:

The distribution of favorite dessert for customers at her shop is the same as it is for Americans in general.

H1:

The distribution of favorite dessert for customers at her shop is not the same as it is for Americans in general

d)

degree of freedom =categories-1=

4

e)

test statistic X2=

10.962

f)

p value =

0.0270

from excel: chidist(10.962,4)

g)

p value is less than α

h)

reject the null

i)

There is sufficient evidence to conclude that the distribution of favorite dessert for customers at her shop is not the same as it is for Americans in general.