Question

A manufacturer of colored chocolate candies specifies the proportion for each color on its website. A sample of randomly selected 101 candies was taken, with the following result: ColorGreenBrownRedYellowOrangeBlueSpecified %17% 12% 12% 15% 21% 23% Observed count9 21 20 30 10 11 (a) Which hypotheses should be used to test if the sample is consistent with the company's specifications: Pick one of the options in each set of parentheses. H0: ( p1 = 9, p2 = 21, p3 = 20, p4 = 30, p5 = 10, p6 = 11 OR p1 = p2 = p3 = p4 = p5 = p6 = 0 OR p1 = p2 = p3 = p4 = p5 = p6 = 1/6 OR p1 = 0.17, p2 = 0.12, p3 = 0.12, p4 = 0.15, p5 = 0.21, p6 = 0.23) , implying the sample is (consistent OR inconsistent) with the company's specifications. Ha: (at least one of the p's is different from the specified values OR all of the p's are different from the specified values) , implying the sample is (inconsistent OR consistent) with the company's specifications. (b) Calculate the expected count for each color: (use 2 decimals.) Green: Brown: Red: Yellow: Orange: Blue: (c) Are the conditions met for doing a chi-squared test? Select all that apply. _ It it reasonable to assume the candies are independent of each other. _ The sample was randomly selected. _ None of the conditions are met. _ The expected count is at least 5 for every cell. (d) How many degrees of freedom are there? (e) Calculate the contribution to the test statistic for Green: (use 2 decimals.) (f) For this sample, the P-value is 0.001. What is the conclusion of the hypothesis test, for α = 0.05? Pick one of the options in each set of parentheses. (Reject H0 OR Do not reject H0) .There is (sufficient OR insufficient) evidence the sample is (inconsistent OR consistent) with the company's specifications.

          A manufacturer of colored chocolate candies specifies the
proportion for each color on its website. A sample of randomly
selected 101 candies was taken, with the following result:
ColorGreenBrownRedYellowOrangeBlueSpecified %17% 12% 12% 15% 21% 23% Observed count9 21 20 30 10 11 
(a) Which hypotheses should be used to test if the sample is
consistent with the company's specifications: Pick one of the
options in each set of parentheses.
H0: ( p1 = 9, p2 = 21, p3 = 20, p4 = 30, p5 = 10,
p6 = 11 OR p1 = p2 = p3 = p4 = p5 = p6 = 0 OR
 p1 = p2 = p3 = p4 = p5 = p6 = 1/6 OR  p1 = 0.17, p2
= 0.12, p3 = 0.12, p4 = 0.15, p5 = 0.21, p6 = 0.23) , implying the
sample is  (consistent OR inconsistent) with the company's
specifications. 
Ha: (at least one of the p's is different from the
specified values OR all of the p's are different from the specified
values) , implying the sample is (inconsistent OR consistent) with
the company's specifications. 
(b) Calculate the expected count for each color: (use 2
decimals.)
Green:  
Brown:  
Red:  
Yellow:  
Orange:  
Blue:  
(c) Are the conditions met for doing a chi-squared test? Select all
that apply.
___ It it reasonable to assume the candies are independent of
each other.
___ The sample was randomly selected.
___ None of the conditions are met.
___ The expected count is at least 5 for every cell.
(d) How many degrees of freedom are there?  
(e) Calculate the contribution to the test statistic for Green:
(use 2 decimals.)  
(f) For this sample, the P-value is 0.001. What is the conclusion
of the hypothesis test, for α = 0.05? Pick one
of the options in each set of parentheses.
 (Reject H0 OR Do not reject H0) .There is (sufficient OR
insufficient) evidence the sample is (inconsistent OR consistent)
with the company's specifications.

Added by Jose Ignacio B.

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