The candy Reese's Pieces come in three different colors: orange, yellow, and brown. Less than forty-five percent of the pieces are supposed to be orange. A random sample of Reese's Pieces packages were opened and 166 out of 400 pieces were orange.

Test the hypothesis that less thanforty-five percent of Reese's Pieces are orange. Use = .05 (define the population parameter in H_0,.State the Ha and Ho, Which hypothesis is your claim?)

1. H₀:
2. H_a:
3. Test Statistics (z or t score, indicate which one)
4. Rejection Region for = .05 (based on the Ha, draw the distribution and rejection region you can use software or draw it by hand and take a picture and insert in document.)
5. Conclusion:
6. Based on your test of hypothesis, which statement would you agree with (choose one)?

__________The percent of Reese's Pieces that are orange is less than forty-five percent.

__________The percent of Reese's Pieces that are orange may be at leastforty-five percent.

1. Use the z-table (or TI 84) to obtain the p-value for your test statistic in part a).
2. Based on your p-value in part c), how much evidence exists that the null hypothesis is false?
3. Suppose the maximum value of that you are willing to tolerate is .10. What would be your conclusion?
4. Another way to obtain a p-value is through computer simulation. See the next page for directions