You decide that you want to make sure your estimate from part a is correct. You go out and gather 10 simple random samples of 25 people in your school and calculate the proportion of students within each sample whose Amazon packages arrive within two business days of ordering. The proportion of customers that receive their packages within two days of brdering are given below. 0.70, 0.75, 0.6, 0.95, 0.90, 0.73, 0.87, 0.86, 0.92, 0.97 a. Explain why all of the sample proportions are not the same. b. Find the average of all 10 proportions above. Compare this to the answer you found in a of part 1. Are they the same or different? c. If there is a difference in proportions in part c, explain why there is a difference. Which answer is a better representation of the population proportion? Why?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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I need help with all the questions in part 2
Part 2
You decide that you want to make sure your estimate from part a is correct. You
go out and gather 10 simple random samples of 25 people in your school and
calculate the proportion of students within each sample whose Amazon
packages arrive within two business days of ordering.
The proportion of customers that receive their packages within two days of
brdering are given below.
0.70, 0.75, 0.6, 0.95, 0.90, 0.73, 0.87, 0.86, 0.92, 0.97
a. Explain why all of the sample proportions are not the same.
b. Find the average of all 10 proportions above. Compare this to the answer you
found in a of part 1. Are they the same or different?
c. If there is a difference in proportions in part c, explain why there is a difference.
Which answer is a better representation of the population proportion? Why?
d. Find the margin of error for the 10 samples.
e. How can we decrease the margin of error?
f. Based on Amazon's claim of 85% and your sample proportions, do you
believe Amazon's claim? Explain.
Transcribed Image Text:Part 2 You decide that you want to make sure your estimate from part a is correct. You go out and gather 10 simple random samples of 25 people in your school and calculate the proportion of students within each sample whose Amazon packages arrive within two business days of ordering. The proportion of customers that receive their packages within two days of brdering are given below. 0.70, 0.75, 0.6, 0.95, 0.90, 0.73, 0.87, 0.86, 0.92, 0.97 a. Explain why all of the sample proportions are not the same. b. Find the average of all 10 proportions above. Compare this to the answer you found in a of part 1. Are they the same or different? c. If there is a difference in proportions in part c, explain why there is a difference. Which answer is a better representation of the population proportion? Why? d. Find the margin of error for the 10 samples. e. How can we decrease the margin of error? f. Based on Amazon's claim of 85% and your sample proportions, do you believe Amazon's claim? Explain.
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