MARS Claims That Skittles Candies Should Be Comprised of 30

question 42

Essay

MARS claims that Skittles candies should be comprised of 30% purple, 10% orange, and 20% should be red, yellow, and green. Business students count a large bag of Skittles and find 265 red, 279 purple, 303 yellow, 271 green, and 212 orange candies.
A) Set up the competing hypotheses to test if at least one proportion is different than the value claimed by MARS.
B) Calculate the value of the test statistic and determine the degrees of freedom.
C) Compute the p-value. Does the evidence suggest that at least one proportion is different from the claimed value at the 5% significance level?

• A) Set up the competing hypotheses to test if at least one proportion is different than the value claimed by MARS.
• B) Calculate the value of the test statistic and determine the degrees of freedom.
• C) Compute the p-value. Does the evidence suggest that at least one proportion is different from the claimed value at the 5% significance level?

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Definitions:

Macrophages

A type of lymphocytes that attacks invading organisms.

Immune System Organs

Organs involved in the body's defense against pathogens, including the thymus, spleen, lymph nodes, and bone marrow.

Liver

The largest gland in the body; it aids digestion by producing bile, regulates organic components of the blood, and acts as a detoxifier of blood.

Thymus

An organ located near the heart that secretes thymosin and thus processes and activates T-cells.