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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 the z-table. a. Show the sampling distribution of p, the sample proportion of households spending more than $100 per week on groceries. E(F) = (to 2 decimals) (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. Answer part (b) for a sample of 1600 households (to 4 decimals).

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 the z-table. a. Show the sampling distribution of p, the sample proportion of households spending more than $100 per week on groceries. E(F) = (to 2 decimals) (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. Answer part (b) for a sample of 1600 households (to 4 decimals).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 20PFA
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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 the z-table. a. Show the sampling distribution of p, the sample 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. Answer part (b) for a sample of 1600 households (to 4 decimals).
Transcribed Image Text: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 the z-table. a. Show the sampling distribution of p, the sample 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. Answer part (b) for a sample of 1600 households (to 4 decimals).
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