Question

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 than forty-five percent of Reese's Pieces are orange. Use α = .05 (define the population parameter in H₀).(Which hypothesis is your claim?)

1. H₀:
2. H_a:
3. Test Statistics (z or t score, indicate which one)
4. Rejection Region for α = .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 are less than forty-five percent.

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

2. Use the z-table (or TI 84) to obtain the p-value for your test statistic in part a).

3. Based on your p-value in part b), how much evidence exists that the null hypothesis is false?

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

Answer 1