Question

for questions 1 - 10, use the following information. professor charles spence, author of the book gastrophysics, claims that the different color skittles do not have a different taste. the cover - and well - all the marketing people think they can taste the difference between skittles, but if they were blindfolded and held their noses, they would not be able to taste a difference. rachel hovis, a writer at a news magazine, the independent, investigated whether she could taste the difference between skittles. she tasted 5 skittles and guessed the correct flavor on 3 of the 5 skittles. there are 5 different skittles flavors in a pack. she wondered if she can determine the color of the skittle by taste better than if she was just guessing randomly without tasting. what is the parameter of interest for rachel? the long - run proportion of times rachel correctly guesses the skittles flavor. the proportion of skittles rachel guessed the correct flavor of out of the 5 skittles.

Explanation:

Step1: Identify relevant values

The number of trials $n = 5$ (number of Skittles tasted), and the number of successes $x=3$ (number of correct flavor - guesses).

Step2: Calculate the proportion

The proportion $\hat{p}=\frac{x}{n}$. Substitute $x = 3$ and $n = 5$ into the formula. So, $\hat{p}=\frac{3}{5}=0.6$.

Answer:

$0.6$