Question

• Show work for the test statistic (T.S.) in part a).

The candy Reese's Pieces comes in three different colors: orange, yellow, and brown. The target color distribution is 45% of the pieces orange. 27.5% yellow, and 27.5% brown. A random sample of Reese's Pieces packages contained 400 pieces having the following color distribution: 162 were orange, 117 yellow, and 121 brown.

Test the hypothesis that Reese's Pieces is meeting its target color distribution. Use α = .01 (define the population parameter(s) in H₀). (Which hypothesis is your claim)

1. H₀:
2. H_a:
3. T. S.:
4. R (Draw Rejection region with the critical value)
5. Conclusion:

Based on your test of hypothesis, which statement would you agree with (choose one)?

__________ Reese's Pieces is probably meeting its target color distribution.

__________ Reese's Pieces is probably not meeting its target color distribution.

6. Approximate the p-value for your test statistic in part a) using the χ²

7. Suppose the maximum value of α that you are willing to tolerate is .10. What would be your conclusion?

Another way to obtain a p-value is through computer simulation. Use the statistical program StatKey to obtain a p-value for your test statistic in part a) (see directions).

Answer 1

conclusion : Reese's Pieces is probably not meeting its target color distribution