Suppose a consumer affairs representative for Mars Incorporated claims that M&M’s plain chocolate candies are mixed such that each large production batch has the following percentages of colored candies: 20% brown, 10%yellow, 10% red, 10% orange, 20% green, and 30% blue. To test this claim, a professor distributed small sample bags of M&M’s to students and had them count the number of candies of each color. The counts of the students were then pooled with the following results. At α=0.01, determine whether there is sufficient evidence to conclude that the percentages are different from what the representative claims. Candy Colors Brown Yellow Red Orange Green Blue Number of candies 198 108 111 123 201 257 Step 1 of 4 : State the null and alternative hypotheses in terms of the expected proportion for each candy color. Please give numeric answer for part 1 H0: pbrown=⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯ pyellow=⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯ pred=⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯ porange=⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯pgreen=⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯ pblue=⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯ Ha: There is a difference from the stated proportions. Step 2 of 4: Calculate expected values Step 3 of 4 : Compute the value of the test statistic. Round any intermediate calculations to at least six decimal places, and round your final answer to three decimal places. Step 4 of 4: draw conclusion and interpret the decision (is there enough evidence?)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose a consumer affairs representative for Mars Incorporated claims that M&M’s plain chocolate candies are mixed such that each large production batch has the following percentages of colored candies: 20% brown, 10%yellow, 10% red, 10% orange, 20% green, and 30% blue. To test this claim, a professor distributed small sample bags of M&M’s to students and had them count the number of candies of each color. The counts of the students were then pooled with the following results. At α=0.01, determine whether there is sufficient evidence to conclude that the percentages are different from what the representative claims.

Candy Colors
Brown Yellow Red Orange Green Blue
Number of candies 198 108 111 123 201 257

Step 1 of 4 :

State the null and alternative hypotheses in terms of the expected proportion for each candy color. Please give numeric answer for part 1

H0: pbrown=⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯ pyellow=⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯ pred=⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯ porange=⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯pgreen=⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯ pblue=⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯
Ha: There is a difference from the stated proportions.

Step 2 of 4: Calculate expected values

Step 3 of 4 :

Compute the value of the test statistic. Round any intermediate calculations to at least six decimal places, and round your final answer to three decimal places.

Step 4 of 4: draw conclusion and interpret the decision (is there enough evidence?)

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