eBook The Food Marketing Institute shows that 17% of households spend more than $100 per week on groceries. Assume the population proportion is p = 0.17 and a simple random sample of 800 households will be selected from the population. Use z-table. a. Calculate the sampling distribution of p, the proportion of households spending more than $100 per week on groceries. E(F) = (to 2 decimals) oF = (to 4 decimals) b. What is the probability that the sample proportion will be within +0.02 of the population proportion (to 4 decimals)? C. What is the probability that the sample proportion will be within ±0.02 of the population proportion for a sample of 1600 households (to 4 decimals)?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The Food Marketing Institute shows that 17% of households spend more than $100 per week on groceries. Assume the population proportion is p = 0.17 and a simple random sample of 800
households will be selected from the population. Use z-table.
a. Calculate the sampling distribution of p, the proportion of households spending more than $100 per week on groceries.
E(p) =
(to 2 decimals)
(to 4 decimals)
%3D
b. What is the probability that the sample proportion will be within +0.02 of the population proportion (to 4 decimals)?
c. What is the probability that the sample proportion will be within +0.02 of the population proportion for a sample of 1600 households (to 4 decimals)?
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Exercise 07.37
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Transcribed Image Text:Check My Work eBook The Food Marketing Institute shows that 17% of households spend more than $100 per week on groceries. Assume the population proportion is p = 0.17 and a simple random sample of 800 households will be selected from the population. Use z-table. a. Calculate the sampling distribution of p, the proportion of households spending more than $100 per week on groceries. E(p) = (to 2 decimals) (to 4 decimals) %3D b. What is the probability that the sample proportion will be within +0.02 of the population proportion (to 4 decimals)? c. What is the probability that the sample proportion will be within +0.02 of the population proportion for a sample of 1600 households (to 4 decimals)? Check My Work O- Icon Key « Question 8 of 8 Exercise 07.37 Save Submit Assignment for Grading 1:0 11/1 ASI Ili
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