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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 sample of 600 households will be selected from the population. (a) Show the sampling distribution of p, the sample proportion of households spending more than $100 per week on groceries. -1.83 -0.83 0.17 1.17 2.17 -0.03 -0.015 0.015 0.03 0.14 0.155 0.17 0.185 0.2 -0.015 0.015 0.03 0.045 (b) What is the probability that the sample proportion will be within +0.02 of the population proportion? (Round your answer to four decimal places.) (c) Answer part (b) for a sample of 1,200 households. (Round your answer to four decimal places.)

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 sample of 600 households will be selected from the population. (a) Show the sampling distribution of p, the sample proportion of households spending more than $100 per week on groceries. -1.83 -0.83 0.17 1.17 2.17 -0.03 -0.015 0.015 0.03 0.14 0.155 0.17 0.185 0.2 -0.015 0.015 0.03 0.045 (b) What is the probability that the sample proportion will be within +0.02 of the population proportion? (Round your answer to four decimal places.) (c) Answer part (b) for a sample of 1,200 households. (Round your answer to four decimal places.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 8E
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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 sample of 600 households will be selected from the population. (a) Show the sampling distribution of p, the sample proportion of households spending more than $100 per week on groceries. -1.83 -0.83 0.17 1.17 2.17 -0.03 -0.015 0.015 0.03 0.14 0.155 0.17 0.185 0.2 -0.015 0.015 0.03 0.045 (b) What is the probability that the sample proportion will be within +0.02 of the population proportion? (Round your answer to four decimal places.) (c) Answer part (b) for a sample of 1,200 households. (Round your answer to four decimal places.)
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 sample of 600 households will be selected from the population. (a) Show the sampling distribution of p, the sample proportion of households spending more than $100 per week on groceries. -1.83 -0.83 0.17 1.17 2.17 -0.03 -0.015 0.015 0.03 0.14 0.155 0.17 0.185 0.2 -0.015 0.015 0.03 0.045 (b) What is the probability that the sample proportion will be within +0.02 of the population proportion? (Round your answer to four decimal places.) (c) Answer part (b) for a sample of 1,200 households. (Round your answer to four decimal places.)
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