3. Write the appropriate null and alternative hypothesis in symbols to determine if the proportion of each color is the same in a bag of skittles. Null Hypothesis:

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Task 1: Testing a claim with Skittles
Skittles Brand candies come in red, orange, yellow, green, and purple. It is well known that M&M Brand
Candles are not represented with equal frequency. However, do the colors of Skittles candies occur
with equal frequency?
1. If there are 5 colors in a bag of skittles and proportion of each color is the same, what is the
probability (given as a decimal) of each color in the bag?
2. Claim: The colors of Skittles occur with equal frequency. Glven this claim, is this going to be a
hypothesis test for Population Proportion or Population Mean?
3. Write the appropriate null and alternative hypothesis in symbols to determine if the proportion
of each color is the same in a bag of skittles.
Null Hypothesis:
Alternative Hypothesis:
4. Obtain a bag of Skittles. Randomly choose a color from one of the five colors. Count the total
number of candies in the bag as well as the number for the color you selected.
What color did you choose?
Number of Skittles in the bag:
Number of Skittles in your color:
Sample proportion for your color:
Test the hypothesis you wrote in above using the classical/traditional Approach or the P-value
approach. Include in work, the critical value and test statistic or p-value. Be sure to state a
conclusion in a complete sentence.
Transcribed Image Text:Task 1: Testing a claim with Skittles Skittles Brand candies come in red, orange, yellow, green, and purple. It is well known that M&M Brand Candles are not represented with equal frequency. However, do the colors of Skittles candies occur with equal frequency? 1. If there are 5 colors in a bag of skittles and proportion of each color is the same, what is the probability (given as a decimal) of each color in the bag? 2. Claim: The colors of Skittles occur with equal frequency. Glven this claim, is this going to be a hypothesis test for Population Proportion or Population Mean? 3. Write the appropriate null and alternative hypothesis in symbols to determine if the proportion of each color is the same in a bag of skittles. Null Hypothesis: Alternative Hypothesis: 4. Obtain a bag of Skittles. Randomly choose a color from one of the five colors. Count the total number of candies in the bag as well as the number for the color you selected. What color did you choose? Number of Skittles in the bag: Number of Skittles in your color: Sample proportion for your color: Test the hypothesis you wrote in above using the classical/traditional Approach or the P-value approach. Include in work, the critical value and test statistic or p-value. Be sure to state a conclusion in a complete sentence.
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