Why is a sample proportion generally used to estimate a population proportion instead of obtaining the population proportion directly?

Q: What is the difference between a sample and a census

A: Sample In statistics and quantitative research methodology, a sample is a set of individuals or…

Q: Explain the procedure you would follow in constructing the sampling distribution of the difference…

A: The sampling distribution of the difference between two sample proportions based on large samples…

Q: describe the sampling distribution of the sample means in the histogram

A: A histogram of sample mean is given.

Q: Explain Prerequisites of Sampling Distribution of the Mean?

A: The sampling distribution of the sample mean, X̄, based on a sample of size n, taken from a…

Q: What is the difference between sample means and a distribution of sample proportions?

A: Given : Sample mean : Average of sample observations is known as "sample mean". Sample proportion :…

Q: How is a sample related to a​ population?

A: Population is set of all elements about which we want to know. While the sample is a part of such…

Q: What do you think is the reason, why researchers prefer to get a sample from the total population…

A: A researcher can carefully design the study which to a large extent try to prevent the biases and…

Q: how does the sample and population relate?

A: Sample and population both are different items, but both are related with each other. Population is…

Q: State 2 reasons why a sample survey may be preferred over conducting a census to obtain data.

A: Census: A census is a collection of information from all units in the population or a complete…

Q: the sample mean is the best estimate for population mean true or false

A: We have given that  the sample mean is the best estimate for population mean.

Q: Why Should Multiple Sampling Methodologies Be Considered For Health Care Research?

A: Given that - Why Should Multiple Sampling Methodologies Be Considered For Health Care Research?

Q: a) Explain how you can select a systematic sample of size 7 from a population of size 60.

A: Sampling designs: Simple random sampling: In simple random sampling, all the units in the population…

Q: Explain the concept of stratified sampling. How would you conduct research through stratified…

A: In stratified sampling , we divide our whole population of interest into subgroups (homogeneous)…

Q: What is the statistical symbol for sample mean? What is the statistical symbol for population Mean?

A: Sample mean The sub-set of the mention population is identified as a sample. In addition, the sample…

Q: What are the steps for finding the relative frequency of sample means above or below a specified…

A: The sampling distribution of sample means is approximately a normal distribution because of the…

Q: How do you solve for the mean of the sampling distribution of sample means?

A: Solution-: We find how to solve for the mean of the sampling distribution of sample means?

Q: Understand the basic principles of sampling, including the differences between statistical and…

A: The sampling theory is based on three principles- (a) Principle of validity- According to this, the…

Q: Describe the sampling distribution of the difference between two sample means large samples.

A: Our aim is to describe the sampling distribution of the difference between two sample means.

Q: What is Sample?

A:

Q: estimate the sample size for a population of 750 people.

A: To estimate the sample size the required calculation can be defined by the formula  Slovin's…

Q: What is the value of the standard score for the sample proportion?

A: If mean if the proportion us P And standard deviation is √(pq/n) Then standard score or Z score for…

Q: Briefly explain how the officer collects the sample based on stratified sampling

A: Stratified sampling is the type of sampling where we divide our population into different strata,…

Q: What does the test of a single proportion entail?

A: The One-Sample Proportion Test is used to assess whether a population proportion (P1) is…

Q: Explain the concept of Missing Data and Sample Selection?

A:

Q: What value should we expect for our sample proportion?

A: We have to answer question based on proportion.

Q: Explain the EFFECT OF SAMPLE SIZE.

A: The size of our sample defines how much information we have and thus, in part, decides our precision…

Q: Describe the sampling distribution for the sample means

A: Given, n=100 μ=55 σ=20

Q: Here is an illustration of a population survey. Identify what survey sampling method was used and…

A: There are in general 4 survey sampling methods.  Simple Random Sampling: Each member of the sample…

Q: What is the difference between a sample and a census? Why can it be advantageous to select a sample…

A: A census is a study of every unit, everyone or everything, in a population. It is known as a…

Q: Explain why the margin of error determines the accuracy with which a sample mean estimates a…

A:

Q: Explain how to perform a two-sample z-test for the difference between two population proportions.

A:

Q: In order to study the mean blood pressure of people in his town, Richard samples the population by…

A: We know that stratified sampling involves dividing the population into groups and randomly selecting…

Q: How do you find the stardard deivation for a sample proportion?

A: The sample proportion is p, suppose.  Find q which is equal to 1-p Finf the sample size = n

Q: What is the difference between a score/category’s frequency and its relative frequency (proportion)?

A:

Q: What is mean of the Sampling Distribution of the Mean?

A:

Q: What is the Importance of Equal Sample Sizes?

A: The t-test and ANOVA assume that the sample sizes are equal. There is an importance that the two…

Q: What are the practical Reasons for learning how to use the formula in determining sample size?

A: The two major factors affecting the power of a study are the sample size and the effect size A…

Q: Someone claims that, since the mean of the sampling distribution equals the population mean, any…

A:

Q: Explain the relationships among the sample proportion, the number of successes in the sample, and…

A: Sample proportion: The fraction of number of members sampled which have a specified attribute and…

Q: What are the advantages of sampling over a census?

A: Population: In statistical enquiry our interest lies about gathering information about some…

Q: What is Sample Mean?

A: A statistical population is a set of entities from which statistical inferences are to be drawn,…

Q: What is the symbol for the best point estimate for the true proportion? What is the symbol for the…

A: A point estimate is defined as the single value that is calculated from the sample data to estimate…

Q: What does the margin of error for the estimate of a population proportion tell you?

A: The formula for margin of error can be written as:

Q: Explain why increasing the sample size tends to result in a smaller sampling error when a sample…

A: Sampling error:When a sample is used to estimate a population characteristic, the error resulting is…

Q: what happens to the mean as the sample size increases?

A: It is given that the sample size is increasing.

Q: What does the SEM value tell us about the magnitude of sampling error?

A: Introduction: Suppose a random sample of size n is taken from a population with mean μ and standard…

Q: Why is sampling design needed in research?

A: An established strategy for drawing a sample from a certain population is known as a sample design.…

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.