Question

In: Statistics and Probability

Milk Chocolate M&M’s come in 6 colors; blue, orange, green, yellow, red, and brown. 1. Choose...

Milk Chocolate M&M’s come in 6 colors; blue, orange, green, yellow, red, and brown.
1. Choose your favorite color of M&M’s you will be working with for this project. State the color and give the counts below.
Color of choice:
Number of M&M's in your color:
Total number of M&M's:
Proportion of M&M's in your color:
2. Construct a 95% confidence interval for the proportion of M&M’s one can expect to find in the color of your choice.
3. Give an interpretation of your interval.
4. Find the margin of error for your interval.
5. Check the requirements for constructing a confidence interval for the proportion are satisfied. Show your work. (See the note in the gray/blue box on page 426)
6. The conditions might not be satisfied, depending on how many candies were in your bag. If the conditions are not met, what could you do? (Note—you don’t have to redo the experiment to meet the conditions, just say what you would do.)
7. Does your interval contain the stated proportion by M&Ms for the color you chose?
8. If you had a larger sample, how would you expect the confidence interval to be affected? Provide justification.
Find a confidence interval from a source or article you’re interested in. Post the confidence interval and an interpretation of the article. You can add substance to your post by including some things you find interesting about the article/source you used.
Please post your source.

25 Red M&Ms out of 200 total M&Ms

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