A large home improvement store is considering expanding its selection of moving products, such as cardboard boxes and packing tape. The store constructs a 90% confidence interval to estimate the proportion of all customers who have moved houses at least once in the last five years. In the random sample of 620 customers, 201 (32.4%) replied that they had moved at least once in the last five years. The sample yielded the 90% confidence interval (0.293, 0.355) for the proportion of all customers who have moved in the past five years. What is the correct interpretation of this confidence interval? The store can be 90% confident that a proportion of 0.324 of all customers of this store have moved in the past five years. There is a 90% probability that between 29.3% and 35.5% of all customers of this store have moved in the past five years. There is a 10% chance that less than 29.3% or more than 35.5% of all customers of this store have moved in the past five years. O The store can be 90% confident that the interval from 0.293 to 0.355 captures the proportion of all customers of this store who have moved in the past five years.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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A large home improvement store is considering expanding its selection of moving products, such as
cardboard boxes and packing tape. The store constructs a 90% confidence interval to estimate the proportion
of all customers who have moved houses at least once in the last five years. In the random sample of 620
customers, 201 (32.4%) replied that they had moved at least once in the last five years. The sample yielded
the 90% confidence interval (0.293, 0.355) for the proportion of all customers who have moved in the past five
years. What is the correct interpretation of this confidence interval?
O The store can be 90% confident that a proportion of 0.324 of all customers of this store have moved in the
past five years.
O There is a 90% probability that between 29.3% and 35.5% of all customers of this store have moved in the
past five years.
There is a 10% chance that less than 29.3% or more than 35.5% of all customers of this store have moved
in the past five years.
O The store can be 90% confident that the interval from 0.293 to 0.355 captures the proportion of all
customers of this store who have moved in the past five years.
Transcribed Image Text:A large home improvement store is considering expanding its selection of moving products, such as cardboard boxes and packing tape. The store constructs a 90% confidence interval to estimate the proportion of all customers who have moved houses at least once in the last five years. In the random sample of 620 customers, 201 (32.4%) replied that they had moved at least once in the last five years. The sample yielded the 90% confidence interval (0.293, 0.355) for the proportion of all customers who have moved in the past five years. What is the correct interpretation of this confidence interval? O The store can be 90% confident that a proportion of 0.324 of all customers of this store have moved in the past five years. O There is a 90% probability that between 29.3% and 35.5% of all customers of this store have moved in the past five years. There is a 10% chance that less than 29.3% or more than 35.5% of all customers of this store have moved in the past five years. O The store can be 90% confident that the interval from 0.293 to 0.355 captures the proportion of all customers of this store who have moved in the past five years.
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