Mars inc. claims that they produce m& ms with the following distributions:

brown 30% red 20% yellow 20%
orange 10% green 10% blue 10%

a bag of m& ms was randomly selected from the grocery store shelf, and the color counts were:

brown 21 red 23 yellow 19
orange 16 green 16 blue 14

find the 98% confidence interval for the proportion of orange m& ms in that bag.

a) [0.068, 0.026]

b) [0.068, 0.226]

c) [0.118, 0.123]

d) [-0.032, 0.176]

e) [-0.012, 0.226]

f) none of the above

part 2

mars inc. claims that they produce m& ms with the following distributions:

brown 30% red 20% yellow 20%
orange 10% green 10% blue 10%

how many m& ms must be sampled to construct the 97% confidence interval for the proportion of red m& ms in that bag if we want a margin of error of ± .15?

a) 33

b) 36

c) 34

d) 26

e) 25

f) none of the above