The expected proportions of colors of M&Ms according to the Mars candy company can be found in the table below. In addition, the table contains the number of M&M's of each color that were found in a case of candy. At the 5% level, do the observed frequencies support the claim of M&M? M&M Observed Counts and Expected Proportions blue brown green orange red yellow Total Observed Frequencies 481 361 480 551 372 361 2606 Expected Proportion 0.24 0.13 0.16 0.2 0.13 0.14 H: Hypotheses H0:H0:The distribution of for the stated distribution. HA:HA:The distribution of for the stated distribution. A: Assumptions In this problem data were collected for variable(s) from sample(s). Which of the following assumptions must be checked? Check all that apply. All observed counts are at least 5 Population standard deviations are known All sample sizes are at least 30 N >= 20n All expected counts are less than 5 All observed counts are less than 5 N < 20n Population standard deviations are unknown All expected counts are at least 5 Check the assumptions: 1. Enter the list of expected values (round values to 2 decimal places): Are all of the expected values greater than or equal to 5? 2. No N is given, we will assume N N: Name the test The conditions are met to use a . T: Test Statistic The formula set up of the first and last term of the test statistic are as follows: Round initial values to 2 decimal places: χ2=Σ(O−E)2Eχ2=Σ(O-E)2E = ( - )^2^2/ + ... + ( - )^2^2/ Final answer from technology rounded to 2 decimal places: χ2χ2 = O: Obtain the P-value Report the final answer to 4 decimal places. It is possible when rounded that a p-value is 0.0000 P-value = M: Make a decision Since the p-value , we . S: State a conclustion There significant evidence to conclude that the distribution of for the stated distribution.
The expected proportions of colors of M&Ms according to the Mars candy company can be found in the table below. In addition, the table contains the number of M&M's of each color that were found in a case of candy. At the 5% level, do the observed frequencies support the claim of M&M?
M&M Observed Counts and Expected Proportions
| blue | brown | green | orange | red | yellow | Total | |
| Observed Frequencies | 481 | 361 | 480 | 551 | 372 | 361 | 2606 |
| Expected Proportion | 0.24 | 0.13 | 0.16 | 0.2 | 0.13 | 0.14 |
H: Hypotheses
H0:H0:The distribution of for the stated distribution.
HA:HA:The distribution of for the stated distribution.
A: Assumptions
- In this problem data were collected for variable(s) from sample(s).
- Which of the following assumptions must be checked?
- Check all that apply.
- All observed counts are at least 5
- Population standard deviations are known
- All sample sizes are at least 30
- N >= 20n
- All expected counts are less than 5
- All observed counts are less than 5
- N < 20n
- Population standard deviations are unknown
- All expected counts are at least 5
Check the assumptions:
1. Enter the list of
-
- Are all of the expected values greater than or equal to 5?
2. No N is given, we will assume N
N: Name the test
The conditions are met to use a .
T: Test Statistic
The formula set up of the first and last term of the test statistic are as follows:
Round initial values to 2 decimal places:
χ2=Σ(O−E)2Eχ2=Σ(O-E)2E = ( - )^2^2/ + ... + ( - )^2^2/
Final answer from technology rounded to 2 decimal places:
χ2χ2 =
O: Obtain the P-value
Report the final answer to 4 decimal places.
It is possible when rounded that a p-value is 0.0000
P-value =
M: Make a decision
Since the p-value , we .
S: State a conclustion
There significant evidence to conclude that the distribution of for the stated distribution.
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