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:
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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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