People end up tossing 12% of what they buy at the grocery store (Reader's Digest, March 2009). Assume this is the true population proportion and that you plan to take a sample survey of 540 grocery shoppers to further investigate their behavior. Use z-table.Show the sampling distribution of (), the proportion of groceries thrown out by your sample respondents (to 4 decimals).SelectCannot assumed to be normally distributedCan assume to be normally distributed because n>=30 and sigma is givenCan assume to be normally distributed because n>100Can assume to be normally distributed because the underlying population is normally distributed and sigma is givenCan assume to be normally distributed because np>=5 and n(1-p)>=5Item 1p = standard error of the proportion σ( ) = What is the probability that your survey will provide a sample proportion within ±.03 of the population proportion (to 4 decimals)?What is the probability that your survey will provide a sample proportion within ±.015 of the population proportion (to 4 decimals)?

Answered: People end up tossing 12% of what they…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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People end up tossing 12% of what they buy at the grocery store (Reader's Digest, March 2009). Assume this is the true population proportion and that you plan to take a sample survey of 540 grocery shoppers to further investigate their behavior. Use z-table.

Show the sampling distribution of (), the proportion of groceries thrown out by your sample respondents (to 4 decimals).

SelectCannot assumed to be normally distributedCan assume to be normally distributed because n>=30 and sigma is givenCan assume to be normally distributed because n>100Can assume to be normally distributed because the underlying population is normally distributed and sigma is givenCan assume to be normally distributed because np>=5 and n(1-p)>=5Item 1

p =

standard error of the proportion σ() =
What is the probability that your survey will provide a sample proportion within ±.03 of the population proportion (to 4 decimals)?
What is the probability that your survey will provide a sample proportion within ±.015 of the population proportion (to 4 decimals)?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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