Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

)Using level of significance of .05, test the claim that the soda preference for

ID: 2906698 • Letter: #

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.

Explanation / Answer

a)

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=t0.05,5 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

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