what is the mean of the sampling distribution of the sample proportion? course hero

Full Answer

What is the sampling distribution of the sample means of normal population?

However, because the population is approximately normal, the sampling distribution of the sample means will be normal as well, even with fewer than 3 0 30 3 0 samples.

What is the probability of a 50% sample size?

The sampling distribution of the sample proportion is approximately Normal with Mean μ = 0.43, Standard deviation p ( 1 − p) n = 0.43 ( 1 − 0.43) 75 ≈ 0.05717 . Therefore, there is a 11.1% chance to get a sample proportion of 50% or higher in a sample size of 75.

What is the standard deviation of the sampling distribution?

The standard deviation of the sampling distribution, also called the sample standard deviation or the standard error or standard error of the mean, is therefore given by where σ sigma σ is population standard deviation and n n n is sample size.

What is sample proportion?

Sample proportion: The proportion of observations in a sample with a certain characteristic. Often denoted p̂, It is calculated as follows: p̂ = x / n

Why do we use sample proportion?

We use the sample proportion to estimate a population proportion. For example, we might be interested in understanding what proportion of residents in a certain city support a new law.

How many people can a nutritionist survey?

Nutrition: A nutritionist may survey 100 people at a hospital to estimate the average number of calories that residents eat per day. Depending on the question of interest, it might make more sense to use the sample proportion or the sample mean to answer the question.