Answered: the food marketing Institute shaow that…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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the food marketing Institute shaow that 17% of households spend more than $100 per week on grpceries. 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 with a line on top), the proportion of households spending more than $100 per week on groceries.

E(p with line on top)=_____

standard deviation(p with line on top)=_____

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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