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A manufacturer of children's vitamins claims that its vitamins are mixed so that ecach batch has exactly the following percentages of each color: 20% green, 30% yellow, 30% red, and 20% orange. To test the claim that these percentages are incorrect, 100 bottles of vitamins were sampled and the colors of the vitamins were tallied. The results are listed in the following table. At a-0.025, determine whether there is sufficient evidence to conclude that the percentages stated by the vitamin manufacturer are incorrect. Children's Vitamins Green Yellow Red Orange Number 1120 1531 1612 1030 1. State the null and alternative hypotheses in terms of the expected proportion for each color of vitamin. H Pgen •Pyello • Pr • Perange H,: 2. List the expected values for each color: 3. Find the test statistic and p-value using the TI-84: 4. Compare the p-value to the level of significance and state whether the decision is to fail to reject the null or reject the null: 5. State the conclusion as a sentence addressing whether there is sufficient evidence to conclude that the percentages stated by the vitamin manufacturer are incorrect:

A manufacturer of children's vitamins claims that its vitamins are mixed so that ecach batch has exactly the following percentages of each color: 20% green, 30% yellow, 30% red, and 20% orange. To test the claim that these percentages are incorrect, 100 bottles of vitamins were sampled and the colors of the vitamins were tallied. The results are listed in the following table. At a-0.025, determine whether there is sufficient evidence to conclude that the percentages stated by the vitamin manufacturer are incorrect. Children's Vitamins Green Yellow Red Orange Number 1120 1531 1612 1030 1. State the null and alternative hypotheses in terms of the expected proportion for each color of vitamin. H Pgen •Pyello • Pr • Perange H,: 2. List the expected values for each color: 3. Find the test statistic and p-value using the TI-84: 4. Compare the p-value to the level of significance and state whether the decision is to fail to reject the null or reject the null: 5. State the conclusion as a sentence addressing whether there is sufficient evidence to conclude that the percentages stated by the vitamin manufacturer are incorrect:

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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11:48 Expert Q&A Done A manufacturer of children's vitamins claims that its vitamins are mixed so that each batch has exactly the following percentages of each color: 20% green, 30% yellow, 30% red, and 20% orange. To test the claim that these percentages are incorrect, 100 bottles of vitamins were sampled and the colors of the vitamins were tallied. The results are listed in the following table. At a=0.025, determine whether there is sufficient evidence to conclude that the percentages stated by the vitamin manufacturer are incorrect. Children's Vitamins Green Yellow Red Orange Number 1120 1531 1612 1030 1. State the null and alternative hypotheses in terms of the expected proportion for each color of vitamin. Ho: Pgreen • Pyellow • Prod • Porange H,: 2. List the expected values for each color: 3. Find the test statistic and p-value using the TI-84: 4. Compare the p-value to the level of significance and state whether the decision is to fail to reject the null or reject the null: 5. State the conclusion as a sentence addressing whether there is sufficient evidence to conclude that the percentages stated by the vitamin manufacturer are incorrect:
Transcribed Image Text:11:48 Expert Q&A Done A manufacturer of children's vitamins claims that its vitamins are mixed so that each batch has exactly the following percentages of each color: 20% green, 30% yellow, 30% red, and 20% orange. To test the claim that these percentages are incorrect, 100 bottles of vitamins were sampled and the colors of the vitamins were tallied. The results are listed in the following table. At a=0.025, determine whether there is sufficient evidence to conclude that the percentages stated by the vitamin manufacturer are incorrect. Children's Vitamins Green Yellow Red Orange Number 1120 1531 1612 1030 1. State the null and alternative hypotheses in terms of the expected proportion for each color of vitamin. Ho: Pgreen • Pyellow • Prod • Porange H,: 2. List the expected values for each color: 3. Find the test statistic and p-value using the TI-84: 4. Compare the p-value to the level of significance and state whether the decision is to fail to reject the null or reject the null: 5. State the conclusion as a sentence addressing whether there is sufficient evidence to conclude that the percentages stated by the vitamin manufacturer are incorrect:
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