Question

)Using level of significance of .05, test the claim that the soda preference for CLC students are not uniform. Soda Pepsi Diet Pepsi Mountain Dew Cherry Pepsi Root Beer Other Frequency 30 45 32 21 25 28 a. Place the Soda in column 1, place frequency in column 2, place expected frequency in column 3 , . Find the test value for this goodness of fit test using calculator and type it on Excel, Find the p-value for this goodness of fit test using Excel function (chisq.test) d. Type all 7 hypothesis testing steps for this particular problem.

Answer 1

a)

soda	freq (oi)	exp freq(ei)	oi-ei	(oi-ei)^2	((oi-ei)^2)/ei
Pepsi	30	30.16667	-0.167	0.0278	0.0009208
Diet Pepsi	45	30.16667	14.833	220.03	7.2937385
Mountain Dew	32	30.16667	1.8333	3.3611	0.111418
Cherry Pepsi	21	30.16667	-9.167	84.028	2.7854512
Root Beer	25	30.16667	-5.167	26.694	0.8848987
Other	28	30.16667	-2.167	4.6944	0.1556169
total	181				11.2320442

Ho: the soda preference for CLC students are uniform

vs H₁:the soda preference for CLC students are not uniform

test statistic:

t calculated=11.2320

t tabulated=t_{0.05,5 d.f}=11.070

p value=CHISQ.TEST()=0.0470

p value < 0.05

that is we reject the null hypothesis

hence

the soda preference for CLC students are not uniform