A popular candy consists of a chocolate piece wrapped in a colored candy shell. Students obtained and opened many bags of candy to determine if the candy manufacturer produced all colors equally or if they made more of certain colors. In total, the students observed 500 candy pieces, consisting of 5 colors. The numbers in each category were: 108 candy pieces were orange, 110 candy pieces were green, 106 candy pieces were red, 90 candy pieces were brown, and 86 candy pieces were yellow. Assume their sample was representative of the production rates of colors from the manufacturer. Based on a proportional model, the expected probability for each color category is 0.20. Based on the p-value obtained in the previous question, are the sample proportions that the students observed for the different colors consistent with the null proportional model (does the data suggest that the manufacturer produces all 5 colors in equal amounts)? yes, the observations suggest all colors are produced equally no, the observations do not suggest that all colors are produced equally

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A popular candy consists of a chocolate piece wrapped in a colored candy shell. Students obtained and opened many
bags of candy to determine if the candy manufacturer produced all colors equally or if they made more of certain
colors. In total, the students observed 500 candy pieces, consisting of 5 colors. The numbers in each category were:
108 candy pieces were orange, 110 candy pieces were green, 106 candy pieces were red, 90 candy pieces were
brown, and 86 candy pieces were yellow. Assume their sample was representative of the production rates of colors
from the manufacturer. Based on a proportional model, the expected probability for each color category is 0.20.
Based on the p-value obtained in the previous question, are the sample proportions that the students observed for
the different colors consistent with the null proportional model (does the data suggest that the manufacturer
produces all 5 colors in equal amounts)?
yes, the observations suggest all colors are produced equally
no, the observations do not suggest that all colors are produced equally
Transcribed Image Text:A popular candy consists of a chocolate piece wrapped in a colored candy shell. Students obtained and opened many bags of candy to determine if the candy manufacturer produced all colors equally or if they made more of certain colors. In total, the students observed 500 candy pieces, consisting of 5 colors. The numbers in each category were: 108 candy pieces were orange, 110 candy pieces were green, 106 candy pieces were red, 90 candy pieces were brown, and 86 candy pieces were yellow. Assume their sample was representative of the production rates of colors from the manufacturer. Based on a proportional model, the expected probability for each color category is 0.20. Based on the p-value obtained in the previous question, are the sample proportions that the students observed for the different colors consistent with the null proportional model (does the data suggest that the manufacturer produces all 5 colors in equal amounts)? yes, the observations suggest all colors are produced equally no, the observations do not suggest that all colors are produced equally
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