Question

Conduct the hypothesis test and provide the test statistic, critical value and P-value, and state the conclusion.

A package of 100 candies are distributed with the following color percentages: 15% red, 20% orange,16% yellow, 10% brown, 25% blue, and 14% green.

Use the given sample data to test the claim that the color distribution is as claimed. Use a 0.025 significance level.

Candy counts:

Color | Number in Package |
---|---|

Red | 15 |

Orange | 23 |

Yellow | 6 |

Brown | 9 |

Blue | 27 |

Green | 20 |

**The test statistic is: (Round to two decimal
places):**

**The critical value is (Round to three decimal
places):**

**The P-value is (Round to three decimal
places):**

**State the Conclusion:**

(**Reject/Do not rejec**t) H0. There (I**s/Is
not**) sufficient evidence to warrant rejection of the claim
that the color distribution is as claimed.

Answer #1

using minitab>stat>tables >chi square

we have

Chi-Square Goodness-of-Fit Test for Observed Counts in Variable: Number in Package

Using category names in Color

Test Contribution

Category Observed Proportion Expected to Chi-Sq

Red 15 0.15 15 0.00000

Orange 23 0.20 20 0.45000

Yellow 6 0.16 16 6.25000

Brown 9 0.10 10 0.10000

Blue 27 0.25 25 0.16000

Green 20 0.14 14 2.57143

N DF Chi-Sq P-Value

100 5 9.53143 0.090

Data | |

Level of Significance | 0.025 |

Degrees of Freedom | 4 |

Critical Value | 11.14329 |

**The test statistic is: 9.53**

**The critical value is 11.143**

**The P-value is 0.090**

**State the Conclusion:**

**Do not rejec**t H0. There **Is not**
sufficient evidence to warrant rejection of the claim that the
color distribution is as claimed.

A package of 100 candies are distributed with the following
color percentages: 12% red, 22% orange, 14% yellow, 12%
brown, 24% blue, and 16% green. Use the given sample data to test
the claim that the color distribution is as claimed. Use a 0.025
significance level.
Candy Counts
Color
Number in Package
Red
1313
Orange
2727
Yellow
66
Brown
1010
Blue
2727
Green
17
The test statistic is
(Round to two decimal places as needed.)
The critical value is
(Round...

Suppose a candy company representative claims that colored
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red, 30% organic, 20% green, and 20% blue. The colors present in a
sample of 442 candies was recorded. Is the representatives claim
about the expected proportions of each color refuted by the
data?
color
brown
yellow
red
orange
green
blue
number of candies
62
88
106
62
62
62
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M&M's.
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