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 ordering 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. Sample portions are not the same because each sample is going to have a different set of students and each student will receive the package at different times. 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? They are different compared to each other because the proportion computed in part 1 is based on just a single sample. Whereas, the proportion in part 2 is computed by taking the average of more than one 1 proportion. 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. 0.825 e. How can we decrease the margin of error? We can increase the sample size to decrease the margin of error. f. Based on Amazon's claim of 85% and your sample proportions, do you believe Amazon's claim? Explain.
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 ordering 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. Sample portions are not the same because each sample is going to have a different set of students and each student will receive the package at different times. 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? They are different compared to each other because the proportion computed in part 1 is based on just a single sample. Whereas, the proportion in part 2 is computed by taking the average of more than one 1 proportion. 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. 0.825 e. How can we decrease the margin of error? We can increase the sample size to decrease the margin of error. f. Based on Amazon's claim of 85% and your sample proportions, do you believe Amazon's claim? Explain.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 42PFA
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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
ordering 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. Sample portions
are not the same because each sample is going to have a different set of
students and each student will receive the package at different times.
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? They are different compared
to each other because the proportion computed in part 1 is based on just a single
sample. Whereas, the proportion in part 2 is computed by taking the average of
more than one 1 proportion.
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. 0.825
e. How can we decrease the margin of error? We can increase the sample size
to 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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