Group Confidence Intervals: 0.11246,0.32094 0.0369, 0.2045 0.07376,0.26523 0.091,0.295 0.0738,0.2652 0.0502,0.2305 b. All group members should have already posted their count of M&Ms on the discussion page. So now you can pool the data from your group and assume that all the M&M's constitute one large sample of M & M's. Total number of M&M's and REDs for the entire group: TOTAL NUMBER OF M&MS: 350 TOTAL NUMBER OF RED M&MS 59 Proportion of Red M&M's for the entire group: c. Construct a 95% confidence interval for the proportion of Red M&M's based on the pooled group data. Group interval: Interpretation sentence: 3. According to Mars, Inc., M&M's are 13% red. a. What percent of the group's confidence intervals contained the true proportion of RED M&M's? (in other words, what proportion of the intervals had 0.13 within the interval?) b. What how many of the confidence intervals would you mathematically expect to contain the true proportion, assuming you had 100 people in your group? Explain. 4. a. If you had a larger sample of M&Ms, how would you expect the confidence interval to be affected? f. Do you trust the percentages of the colors reported by the M & M company? (say yes or no, and give mathematical evidence for your answer) d. Does this confidence interval contain the true proportion of Red M&M's as reported by Mars? e How does the margin of error for this group confidence interval compare to the margin of error for your individual confidence interval? Compute both, showing your work, and compare. A quick method of getting the error when you have the interval is (upper - lower)/2