2. Statistical inference

Amy loves to eat Skittles candies, but she doesn't like lime-flavored Skittles. She claims that the company produces a higher proportion of lime Skittles compared to the other flavors. To check her claim, she buys a large bag of Skittles, counts the total number of Skittles and the number of lime Skittles, and uses her counts to compute the proportion of lime Skittles in the bag.

There are five flavors of Skittles. If the flavors are produced in equal quantities, the proportion of Skittles that are any one particular flavor should be 1/5, or 20%. Amy finds that 21% of the Skittles in her bag are lime. Identify the following elements from the preceding story:

	Population	Sample	Statistic	Parameter
The proportion of Skittles in the bag that are lime
The proportion of all Skittles produced that are lime
All Skittles produced
The Skittles in the bag

Amy writes a complaint letter to the candy manufacturer because she concludes that more than 20% of Skittles are lime-flavored at a significance level of 1%. This means that Amy's conclusion is 1% of the time. While Amy waits for a response from the manufacturer, she continues to enjoy all but the lime flavor of her favorite candy.