STAT 200 Final Examination STAT 200 | Page 8

(a) Identify the null hypothesis and alternative hypothesis (b) Determine the test statistic. ​ Show all work; writing the correct test statistic, without supporting work, will receive no credit. (c) Determine the ​ P ​ -value for this test. ​ Show all work; writing the correct P-value, without supporting work, will receive no credit. (d) Is there sufficient evidence to support the researcher’s claim? Explain 18. ​ The UMUC Daily News reported that the color distribution for plain M&M’s was: 40% brown, 20% yellow, 20% orange, 10% green, and 10% tan​ . ​ Each piece of candy in a random sample of 100 plain M&M’s was classified according to color​ , ​ and the results are listed below. Use a 0.05 significance level to test the claim that the published color distribution is correct. ​ Show all work and justify your answer (a) Identify the null hypothesis and the alternative hypothesis. (b) Determine the test statistic. ​ Show all work; writing the correct test statistic, without supporting work, will receive no credit. (c) Determine the P-value. ​ Show all work; writing the correct P-value, without supporting work, will receive no credit. (d) Is there sufficient evidence to support the claim that the published color distribution is correct? Justify your answer