Data set 27 “M&M” weights in Appendix B lists data from 100 M&Ms and 27% of them are blue. The Mars candy company states that the percentage of blue M&Ms is equal to 24%. Test this claim using a significance level of α = 0.05. Using the z-score tables at the back of the textbook, find the z-score for a significance level of α = 0.05. (Will this be a negative or positive z-score?) This is the critical value. What is it? Sketch a normal distribution curve, plot the critical value, and highlight the critical or rejection region. Calculate the test statistic z. (Use the formula on page 401. Show your work.) What is it? On your graph, plot the z test statistic. Does it lie inside or outside the critical region? State a conclusion about the null hypothesis. (Reject H0 or fail to reject H0.) Should the Mars company take corrective action? Why or why not? Using the z-tables at the back of the textbook, what P-value is associated with this test statistic z? Based on this P-value, would you Reject H0 or fail to reject H0? Why do you think so?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
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Q: Data set 27 “M&M” weights in Appendix B lists data from 100 M&Ms and 27% of them are blue. The Mars candy company states that the percentage of blue M&Ms is equal to 24%. Test this claim using a significance level of α = 0.05.

  1. Using the z-score tables at the back of the textbook, find the z-score for a significance level of α = 0.05. (Will this be a negative or positive z-score?) This is the critical value. What is it?
  2. Sketch a normal distribution curve, plot the critical value, and highlight the critical or rejection region.
  3. Calculate the test statistic z. (Use the formula on page 401. Show your work.) What is it?
  4. On your graph, plot the z test statistic. Does it lie inside or outside the critical region?
  5. State a conclusion about the null hypothesis. (Reject H0 or fail to reject H0.)
  6. Should the Mars company take corrective action? Why or why not?
  7. Using the z-tables at the back of the textbook, what P-value is associated with this test statistic z?

Based on this P-value, would you Reject H0 or fail to reject H0? Why do you think so?

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