Q. 2.3 - The Practice of Statistics for AP

Question

Let’s continue our analysis of Joey’s sample of M&M’S Peanut Chocolate Candies from the previous Check Your Understanding (page 681).

3. Use Table C to find the P-value. Then use your calculator’s ${𝒳}^2$ cdf command.

Step-by-Step Solution

Answer

$p-value \approx 0.048456$

Given

Candies are produced according to the following color distribution: 23% each of blue and orange, 15% each of green and yellow, and 12% each of red and brown. Joey bought a bag of Peanut Chocolate Candies and counted the colors of the candies in his sample: 12 blue, 7 orange, 13 green, 4 yellow, 8 red, and 2 brown.

Calculation

Since from previous part we obtained that 

$df=5$

${𝓧}^2=11.1516$

Therefore the p-value can be calculated as 

$p-value=P(X>{𝓧}^2)$

Upon looking in the calculator we obtain that

$p-value \approx 0.048456$