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 10 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 Color Brown Yellow Orange Green Tan Number 42 ( a ) What is the appropriate hypothesis test : 2 - test for sample proportion , t - test for sample mean , chi square goodness of fit test , F - test for ANOVA ? Please identify and explain why it is appropriate for analyzing this data ( b ) Identify the null hypothesis and the alternative hypothesis . ( C ) Determine the test statistic . Round your answer to two decimal places Show all work writing the correct test statistic , without supporting work , will receive no credit ( d ) Determine the P - value , Round your answer to two decimal places . Show all work ; writing the correct P - value , without supporting work , will receive no credi ( e ) Compare p-value and significance level a What decision should be made regarding the null hypothesis ( e . g . , reject or fail to reject ) and why ? ( 1 ) Is there sufficient evidence to support the claim that the published color distribution is correct ? Justify your