value: 10.00 points The manufacturer of children\'s raincoats wants to kncyif th
ID: 2907674 • Letter: V
Question
value: 10.00 points The manufacturer of children's raincoats wants to kncyif there is a preference among children for any specific color. The information below is the color preference for a sample of 55 children between the ages 6 and 10. ColorFrequency Blue Red Green Yellow 20 7 17 (a) State the decision rule for 0.01 significance level. (Round your answer to 3 decimal places.) Ho : There is no preference for any color. H1 : There is a preference for some color Reject Ho if x> (b) Compute the value of the test statistic. (Round your answer to 3 decimal places.) Value of the test statistic (c) Is there any preference among children for any specific color? Use the 0.01 significance level. (Click to select) Ho. There is (Click to select) among children for any specific color. References eBook & Resources Goodness-of-Fit Test: Equal Expected Frequencies Check my workExplanation / Answer
Ans:
a)alpha=0.01
df=4-1=3
Critical chi square=CHIINV(0.01,3)=11.345
Reject Ho,if Chi square>11.345
b)Expected frquency=55/4=13.75
Test statistic:
Chi square score=7.473
c)As,Chi square score is less than 11.345,we fail to reject null hypothesis.
Do not reject Ho.There is not sufficient evidence of any preference among children from any specific color
Color Observed (fo) Expected (fe) (fo-fe)^2/fe Blue 20 13.75 2.841 Red 7 13.75 3.314 Green 11 13.75 0.550 Yellow 17 13.75 0.768 Total= 55 55 7.473Related Questions
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