Question

The Mars/M&M’s company claims that the proportions of the colors of M&M’s are the same for all colors. The colors are orange, blue, red, brown, yellow and green. Imagine in a sample of 100 candies, you get 24 blue.

1. What is your null and alternative? a. H0: p = 0.24, H1: p ≠ 0.24 b. H0: p = 0.167, H1: p ≠ 0.24 c. H0: p = 0.24, H1: p ≠ 0.167 d. H0: p = 0.167, H1: p ≠ 0.167 e. None of the above. Provide your own answer.

2. What is your decision? a. Support H1 b. Cannot support H1 c. Cannot make a decision at this time d. We do not have enough data to make an educated guess e. None of the above. Provide your own answer.

3. What is your conclusion? a. We have sufficient evidence to support the claim that the true proportion of blue candies is different than 16.7% b. We do not have sufficient evidence to support the claim that the true proportion of blue candies is different than 16.7% c. We have sufficient evidence to support the claim that the true proportion of blue candies is different than 24% d. We do not have sufficient evidence to support the claim that the true proportion of blue candies is different than 24% e. None of the above. Provide your own answer.

4. Does the confidence interval support our conclusion? a. Yes b. No c. Cannot determine at this time d. None of the above. Provide your own answer. 5. If there is a statically significant difference, does that difference have practical significance? a. Yes b. No

Answer 1

Let p denotes the true proportion of blue candies.

According to the claim,

all 6 colors are supposed to be in same proportion

So, proportion of blue candies should be

3. Conclusion : b. We do not have sufficient evidence to support the claim that the true proportion of blue candies is different than 16.7%

4.

Since confidence interval does not include 0.167, so at 5% level of significance we can conclude that the true proportion of blue candies is not different than 24%

ans-> b)