Montgomery, Applied Statistics and Probability for Engineers, 7e Help I System A
ID: 2949679 • Letter: M
Question
Montgomery, Applied Statistics and Probability for Engineers, 7e Help I System Announcements PRINTER VERSION BACK NEXT 300 people of different age were asked if they knew PewDiePie. We wish to know whether the fame of PewDiePie among people is independent of their age group, and we want to use ? 0.05. Age They know They do not know Totals Young Middle-age Elder Totals 91 9 100 154 146 300 59 78 100 100 Determine the value of test statistic. Round your answer to two decimal places (e.g. 98.76) Because o is greaterthan the critical value for a 0.05, we reject Ho. 0.05. The evidence Determine the P-value for this test. Round your answer to four decimal places (e.g. 98.7654). sufficient to claim that the fame of PewDiePie is not independent of the viewers age group at ?Explanation / Answer
Ans:
Test statistic:
Observed chi square score=101.70
df=(2-1)*(3-1)=2
critical chi square=CHIINV(0.05,2)=5.991
As,observed chi square score is greater than 5.991,we reject the null hypothesis.
p-value=CHIDIST(101.70,2)=0.0000
Observed(fo) Age Young Middle-age Elder Totals know 91 41 22 154 do not know 9 59 78 146 Totals 100 100 100 300 Expected(fe) Age Young Middle-age Elder Totals know 51.33 51.33 51.33 154 do not know 48.67 48.67 48.67 146 Totals 100 100 100 300 Chi square=(fo-fe)^2/fe Age Young Middle-age Elder Totals know 30.65 2.08 16.76 154.00 do not know 32.33 2.19 17.68 52.21 Totals 62.98 4.27 34.44 101.70