need help with the two red x parts ### Understanding Sampling DistributionsIn a study published in *Reader's Digest* (March 2009), it was found that people tend to discard 12% of the groceries they purchase. Assuming this percentage represents the true population proportion, we aim to conduct a sample survey of 540 grocery shoppers to explore this behavior further. **a. Sampling Distribution**To represent the sampling distribution of $\bar{p}$, the proportion of groceries discarded by the surveyed sample, follow these steps:1. **Assumptions**: We can assume the sampling distribution to be normally distributed if $ np \geq 5 $ and $ n(1-p) \geq 5 $. 2. **Proportion (p)**: Given as 0.12.3. **Standard Error**: Calculate using the formula: \[ \sigma(\bar{p}) = \sqrt{\frac{p(1-p)}{n}} \] where $\sigma(\bar{p})$ is the standard error of the proportion and $n$ is the sample size.**b. Probability Calculation for ±0.03**Determine the probability that this survey will yield a sample proportion within ±0.03 of the true population proportion. Fill in the probability in four decimal places after calculation.**c. Probability Calculation for ±0.015**Calculate the probability that the survey will yield a sample proportion within ±0.015 of the population proportion:- The probability is given as 0.7154.Through understanding and calculating these values, researchers can estimate the accuracy and reliability of their findings regarding the proportion of groceries discarded by consumers.

Given information- Sample size, n = 540 Population proportion, p = 0.12

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. a. Show the sampling distribution of (P), the proportion of groceries thrown out by your sample respondents (to 4 decimals). Can assume to be normally distributed because np>=5 and n(1-p)>=5 p = .12 standard error of the proportion o( p ) = b. What is the probability that your survey will provide a sample proportion within +.03 of the population proportion (to 4 decimals)?

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. a. Show the sampling distribution of (P), the proportion of groceries thrown out by your sample respondents (to 4 decimals). Can assume to be normally distributed because np>=5 and n(1-p)>=5 p = .12 standard error of the proportion o( p ) = b. What is the probability that your survey will provide a sample proportion within +.03 of the population proportion (to 4 decimals)?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: 3tan z sec? x dr 2.

Q: the answer is not visible

A: For :

Q: Express in terms of i. 1. V - 100

Q: What is the missing x value

A: According to the information provided in the question, BOX1 contains four balls numbered 0, 0, 1, 3…

Q: 3) If the velocity of a particle moving along a line is given by v(t) = cos = COS 2t), which…

A: We have to find the position expression from the velocity function. According to our…

Q: The solution is unclear. My problem asks for x values. What are those x values? Should be comma…

Q: f and f(x) g (x) = g(x) . are the functions whose graphs are Find h'(1). shown,

Q: Thank you for the answer. I am struggling to understand it due to the formating. Is it possible to…

Q: L Vx + 12x2 + 5 tanx dx

Q: What is the value of x?

A: Given parallelogram,

Q: Find a · b. where a = b =

A: givena=<3,1,15>b=<6,-2,-10>we multiply corresponding values of i,j and k vecor to…

Q: 7 y = 3x +- +3 10. 11. 2 - 3

A: Derivative of function

Q: What is the value of r?

A: Calculated values : N1 = 200 dN1/dt = 100 N2 = 400 dN2/dt = 160

Q: -7 3 Let A= -4 -3 Find 5A. 5A = %3D

A: We have to find 5A where it is given that: A=-73-4-3 In multiplication by scalar into the matrix we…

Q: simplify. assume b and c are possitive. (4b4c-2/25b-8c6)-1/2

Concept explainers

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.

Question

need help with the two red x parts

### Understanding Sampling Distributions

In a study published in *Reader's Digest* (March 2009), it was found that people tend to discard 12% of the groceries they purchase. Assuming this percentage represents the true population proportion, we aim to conduct a sample survey of 540 grocery shoppers to explore this behavior further.

**a. Sampling Distribution**

To represent the sampling distribution of $\bar{p}$, the proportion of groceries discarded by the surveyed sample, follow these steps:

1. **Assumptions**: We can assume the sampling distribution to be normally distributed if $ np \geq 5 $ and $ n(1-p) \geq 5 $.

2. **Proportion (p)**: Given as 0.12.

3. **Standard Error**: Calculate using the formula:
\[
\sigma(\bar{p}) = \sqrt{\frac{p(1-p)}{n}}
\]
where $\sigma(\bar{p})$ is the standard error of the proportion and $n$ is the sample size.

**b. Probability Calculation for ±0.03**

Determine the probability that this survey will yield a sample proportion within ±0.03 of the true population proportion. Fill in the probability in four decimal places after calculation.

**c. Probability Calculation for ±0.015**

Calculate the probability that the survey will yield a sample proportion within ±0.015 of the population proportion:

- The probability is given as 0.7154.

Through understanding and calculating these values, researchers can estimate the accuracy and reliability of their findings regarding the proportion of groceries discarded by consumers.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Correlation, Regression, and Association$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

Match these values of r with the accompanying scatterplots: - 0.385, 0.385, 0.997, - 0.767, and 1. Click the icon to view the scatterplots. Match the values of r to the scatterplots. Scatterplots Scatterplot 1, r = 0.385 Scatterplot 2, r= 0.997 Scatterplot 3, r = -0.767 Scatterplot 4, r = Scatterplot 1 Scatterplot 2 Scatterpl 8- R- 8- - 0.385 6- 6- 6- Scatterplot 5, r= 1 > 4- 4- 4- 2- 2- b- 0- 0- 0.2 0.4 0.6 0.8 1 0.2 0.4 0.6 0.8 1 0.2 0.4 0.6 х х Scatterplot 4 Scatterplot 5 15- 8- 14- 6- 13- 4- 12- 2- 11- 10- 0+ 1 0.2 0.4 0.6 0.8 0.2 0.4 0.6 0.8 х
Which of the forms would be most helpful in answering questions d-f
#1
Can you Identify the picture
14. 60° X. 20