Test Statistic (2 decimals): Give the P-value (4 decimals):

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A coworker claims that Skittles candy contains equal quantities of each color (purple, green, orange, yellow, and red). In other words, 1/5 of all Skittles are purple, 1/5 of all Skittles are green, etc. You, an avid consumer of Skittles, disagree with her claim. Test your coworker's claim at the α = 0.10 level of significance, using the data shown below from a random sample of 200 Skittles.

### Which would be correct hypotheses for this test?

- **Null Hypothesis (H₀):** Skittles candy colors come in equal quantities.
- **Alternative Hypothesis (H₁):** Skittles candy colors do not come in equal quantities.

- (Selected) H₀: Skittles candy colors come in equal quantities; H₁: Skittles candy colors do not come in equal quantities.
- (Not selected) H₀: Red Skittles are cherry flavored; H₁: Red Skittles are strawberry flavored.
- (Not selected) H₀: p₁ = p₂; H₁: p₁ ≠ p₂.
- (Not selected) H₀: Taste the Rainbow; H₁: Do not Taste the Rainbow.

### Sample Skittles Data:

| Color  | Count |
|--------|-------|
| Purple | 49    |
| Green  | 41    |
| Orange | 46    |
| Yellow | 33    |
| Red    | 31    |

### Test Statistics and Decision

- **Test Statistic (2 decimals):** [Empty box]
- **P-value (4 decimals):** [Empty box]

### Which is the correct result:

- (Selected) Do not Reject the Null Hypothesis.
- (Not selected) Reject the Null Hypothesis.

### Which would be the appropriate conclusion?

- (Not selected) There is enough evidence to reject the claim that Skittles colors come in equal quantities.
- (Selected) There is not enough evidence to reject the claim that Skittles colors come in equal quantities.
Transcribed Image Text:A coworker claims that Skittles candy contains equal quantities of each color (purple, green, orange, yellow, and red). In other words, 1/5 of all Skittles are purple, 1/5 of all Skittles are green, etc. You, an avid consumer of Skittles, disagree with her claim. Test your coworker's claim at the α = 0.10 level of significance, using the data shown below from a random sample of 200 Skittles. ### Which would be correct hypotheses for this test? - **Null Hypothesis (H₀):** Skittles candy colors come in equal quantities. - **Alternative Hypothesis (H₁):** Skittles candy colors do not come in equal quantities. - (Selected) H₀: Skittles candy colors come in equal quantities; H₁: Skittles candy colors do not come in equal quantities. - (Not selected) H₀: Red Skittles are cherry flavored; H₁: Red Skittles are strawberry flavored. - (Not selected) H₀: p₁ = p₂; H₁: p₁ ≠ p₂. - (Not selected) H₀: Taste the Rainbow; H₁: Do not Taste the Rainbow. ### Sample Skittles Data: | Color | Count | |--------|-------| | Purple | 49 | | Green | 41 | | Orange | 46 | | Yellow | 33 | | Red | 31 | ### Test Statistics and Decision - **Test Statistic (2 decimals):** [Empty box] - **P-value (4 decimals):** [Empty box] ### Which is the correct result: - (Selected) Do not Reject the Null Hypothesis. - (Not selected) Reject the Null Hypothesis. ### Which would be the appropriate conclusion? - (Not selected) There is enough evidence to reject the claim that Skittles colors come in equal quantities. - (Selected) There is not enough evidence to reject the claim that Skittles colors come in equal quantities.
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