A Food Marketing Institute found that 30% of households spend more than $125 a week on groceries. Assume the population proportion is 0.3 and a simple random sample of 155 households is selected from the population. What is the probability that the sample proportion of households spending more than $125 a week is between 0.21 and 0.4?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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A Food Marketing Institute found that 30% of households spend more than $125 a week on
groceries. Assume the population proportion is 0.3 and a simple random sample of 155 households
is selected from the population. What is the probability that the sample proportion of households
spending more than $125 a week is between 0.21 and 0.4?
Note: You should carefully round any z-values you calculate to 4 decimal places to match wamap's
approach and calculations.
Answer =
(Enter your answer as a number accurate to 4 decimal places.)
Transcribed Image Text:A Food Marketing Institute found that 30% of households spend more than $125 a week on groceries. Assume the population proportion is 0.3 and a simple random sample of 155 households is selected from the population. What is the probability that the sample proportion of households spending more than $125 a week is between 0.21 and 0.4? Note: You should carefully round any z-values you calculate to 4 decimal places to match wamap's approach and calculations. Answer = (Enter your answer as a number accurate to 4 decimal places.)
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