A student counted the colors of 293 plain​ M&M's and 310   peanut​ M&M's. The results are recorded in the table below. Use a 0.05 significance level to test the claim that the population of plain​ M&Ms and the population of peanut​ M&M's have the same proportions of the different colors.                            Brown Yellow Red Orange Green Blue             Plain        50 55 42 58 48 40             Peanut      70              40 50 48 57 45

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A student counted the colors of 293 plain​ M&M's and

310
 
peanut​ M&M's. The results are recorded in the table below. Use a 0.05 significance level to test the claim that the population of plain​ M&Ms and the population of peanut​ M&M's have the same proportions of the different colors.
 
                         Brown Yellow Red Orange Green Blue
            Plain        50 55 42 58 48 40
            Peanut     
70
            
40 50 48 57 45
a. State
Upper H 0
.
 
 
A.
The two populations are the same
 
B.
Plain​ M&M's and Peanut​ M&M's are independent
 
C.
The two populations have the same proportions of the different colors
 
D.
The colors are independent
 
b. Calculate the​ P-value. Which of these options is closest to the​ P-value?
 
 
A.
0.1542
 
 
B.
0.1721
 
 
C.
0.1575
 
 
D.
0.1599
 
 
c. State the technical conclusion.
 
 
A.
Do not reject Upper H 0
 
 
B.
Reject Upper H 0
 
 
d. State the final conclusion.
 
 
A.
There is not sufficient sample evidence to support the claim.
 
B.
There is not sufficient evidence to warrant rejection of the claim.
 
C.
The sample data support the claim.
 
D.
There is sufficient evidence to warrant rejection of the claim.
 
e. Does it appear that peanut​ M&M's have a higher proportion of brown​ candies?
 
Y or N
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