a) Compare the distribution of proportion of peanuts of the two brands b) Construct a 96% confidence interval on the proportion of bags of Brand A that have at least 6% peanuts in its Snack Mix bag. c) What do the circled values mean in this situation? d) Brand B claims to have a proportion of .06 of peanuts in its snack mix but Dylan thinks it is more. Based on this sampling (and simulation), find and interpret the p-value of the one sample that had a proportion of peanuts in Snack Mix as .09. (Do not do PHANTOMS. Find the probability by counting and then interpreting the p-value correctly.)

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Brand A
33 2033
5 5 5 4 4 4 40 4 55 55
777 6 6 6 6 0 6 6 6 6 77
9988089
Brand B
1 1 011
3 21
Proportion of Peanuts in Snack Mixes
KEY: 113= 0.13
Group Namen mean SD min Q₁ med Q3 max
1: Brand A 27 0.066 0.03 0.02 0.04 0.06 0.09 0.13
2: Brand B 16 0.06 0.021 0.03 0.05 0.06 0.07 0.11
Listed above is a double-stem plot of the proportion of peanuts in randomly sampled bags of two
snack mixes, Brand A and Brand B
a) Compare the distribution of proportion of peanuts of the two brands
b) Construct a 96% confidence interval on the proportion of bags of Brand A that have at least 6%
peanuts in its Snack Mix bag.
c) What do the circled values mean in this situation?
d)
Brand B claims to have a proportion of .06 of peanuts in its snack mix but Dylan thinks it is more.
Based on this sampling (and simulation), find and interpret the p-value of the one sample that
had a proportion of peanuts in Snack Mix as .09. (Do not do PHANTOMS. Find the probability
by counting and then interpreting the p-value correctly.)
Transcribed Image Text:Brand A 33 2033 5 5 5 4 4 4 40 4 55 55 777 6 6 6 6 0 6 6 6 6 77 9988089 Brand B 1 1 011 3 21 Proportion of Peanuts in Snack Mixes KEY: 113= 0.13 Group Namen mean SD min Q₁ med Q3 max 1: Brand A 27 0.066 0.03 0.02 0.04 0.06 0.09 0.13 2: Brand B 16 0.06 0.021 0.03 0.05 0.06 0.07 0.11 Listed above is a double-stem plot of the proportion of peanuts in randomly sampled bags of two snack mixes, Brand A and Brand B a) Compare the distribution of proportion of peanuts of the two brands b) Construct a 96% confidence interval on the proportion of bags of Brand A that have at least 6% peanuts in its Snack Mix bag. c) What do the circled values mean in this situation? d) Brand B claims to have a proportion of .06 of peanuts in its snack mix but Dylan thinks it is more. Based on this sampling (and simulation), find and interpret the p-value of the one sample that had a proportion of peanuts in Snack Mix as .09. (Do not do PHANTOMS. Find the probability by counting and then interpreting the p-value correctly.)
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