In a bag of M&M candies, the percentage of each color in a bag is supposed to be: Brown 0.30.3, Yellow 0.20.2, Red 0.20.2, Orange 0.10.1, Green 0.10.1, Blue 0.10.1. You take a 7 oz bag containing 137 M&M's and get the following distribution: Does the distribution in this bag fit the distribution it is supposed to have?
In a bag of M&M candies, the percentage of each color in a bag is supposed to be: Brown 0.30.3, Yellow 0.20.2, Red 0.20.2, Orange 0.10.1, Green 0.10.1, Blue 0.10.1. You take a 7 oz bag containing 137 M&M's and get the following distribution: Does the distribution in this bag fit the distribution it is supposed to have?
HoHo : Brown = 0.30.3; Yellow = 0.20.2; Red = 0.20.2; Orange = 0.10.1; Green = 0.10.1; Blue=Blue=0.1`
Complete the table. Report all answers accurate to three decimal places.
| Category | Observed Frequency |
Expected Frequency |
Residual |
|---|---|---|---|
| Brown | 35 | ||
| Yellow | 31 | ||
| Red | 21 | ||
| Orange | 21 | ||
| Green | 20 | ||
| Blue | 9 |
What is the chi-square test-statistic for this data?
χ2=χ2=
For significance level alpha 0.005, the p-value is:
- less than αα
- greater than αα
What would be the conclusion of this hypothesis test?
- Reject the Null Hypothesis
- Fail to reject the Null Hypothesis
Report all answers accurate to three decimal places.
0.0803
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