Question

135 big should be brown, 14 yelow, 13% 21% 20% range, and 16% green A student randomly selected a bag of colored candies. He counted the number of candies of each color and obtained the results shown in the table Test whether the bag of colored candies follows the distribution stated above at the a=005 Level of significance Click the icon to view the table Determine the nul and alternative hypotheses. Choose the correct answer below Observed Distribution of Colors OA H, The distribution of colors is not the same as stated by the manufacturer H, The distribution of colors is the same as stated by the manufacturer OB. Hy The disbution of colors is the same as stated by the manufacturer H, The distribution of colors is not the same as stated by the manufacturer OC. None of these Color Frequency Claimed Proportion Colored Candies in a bag Brown Yellow Red Blue Orange Green 63 52 61 99 0.13 0.14 0.13 0.24 020 0.16 Compute the expected counts for each color Color Frequency Expected Count Brown Yellow 65 Print Done 61 99 Orange Cox to select your awesi

Answer 1

a)

B. M The distribution of colors is the same as stated by the manufacturer H, The distribution of cars is not the same as stated by the manufacturer

b)

expected frequency,E

52.78

56.84

52.78

97.44

81.20

64.96

observed frequencey, O	expected proportion	expected frequency,E	(O-E)		(O-E)²/E
63	0.130	52.78	10.22		1.979
65	0.140	56.84	8.16		1.171
52	0.130	52.78	-0.78		0.012
61	0.240	97.44	-36.44		13.628
99	0.200	81.20	17.80		3.902
66	0.160	64.960	1.04		0.017

chi square test statistic,X² = Σ(O-E)²/E =   20.708              
                  
  
Degree of freedom=k-1=   6   -   1   =   5
                  
P value =   0.001 [ excel function: =chisq.dist.rt(test-stat,df) ]          

Oc. Relect Hy There is sufficient evidence that the distribution of colors is not the same as stated by the manufacturer

Please let me know in case of any doubt.

Thanks in advance!

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