Question

A sample of size 100 is selected from a population with p = 0.50. (a) What...

A sample of size 100 is selected from a population with p = 0.50.

(a) What is the expected value of p?

(b) What is the standard error of p? (Round your answer to four decimal places.)

Homework Answers

Answer #1

Solution

Given that,

p = 0.50

1 - p = 1 - 0.50 = 0.5

n = 100

(a)

Expected value  = p = 0.50

(b)

=  p ( 1 - p ) / n

=   (0.50 * 0.5) / 100 =

= 0.05

Standard error = 0.05

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A random sample of size n = 75 is taken from a population of size N...
A random sample of size n = 75 is taken from a population of size N = 650 with a population proportion p = 0.60. Is it necessary to apply the finite population correction factor? Yes or No? Calculate the expected value and the standard error of the sample proportion. (Round "expected value" to 2 decimal places and "standard error" to 4 decimal places.) What is the probability that the sample proportion is less than 0.50? (Round “z” value to...
Suppose that a random sample of size 64 is to be selected from a population with...
Suppose that a random sample of size 64 is to be selected from a population with mean 40 and standard deviation 5. (a) What are the mean and standard deviation of the sampling distribution? μx = σx = (b) What is the approximate probability that x will be within 0.4 of the population mean μ? (Round your answer to four decimal places.) P = (c) What is the approximate probability that x will differ from μ by more than 0.8?...
A random sample of size n = 50 is selected from a binomial distribution with population...
A random sample of size n = 50 is selected from a binomial distribution with population proportion p = 0.8. Describe the approximate shape of the sampling distribution of p̂. Calculate the mean and standard deviation (or standard error) of the sampling distribution of p̂. (Round your standard deviation to four decimal places.) mean = standard deviation = Find the probability that the sample proportion p̂ is less than 0.9. (Round your answer to four decimal places.)
A random sample of size n = 40 is selected from a binomial distribution with population...
A random sample of size n = 40 is selected from a binomial distribution with population proportion p = 0.25. (a) What will be the approximate shape of the sampling distribution of p̂? approximately normal skewed symmetric Correct: Your answer is correct. (b) What will be the mean and standard deviation (or standard error) of the sampling distribution of p̂? (Round your answers to four decimal places.) mean 0.25 Correct: Your answer is correct. standard deviation 0.0685 Correct: Your answer...
A random sample of size n = 101 is taken from a population of size N...
A random sample of size n = 101 is taken from a population of size N = 2,719 with a population proportion of p = 0.67. [You may find it useful to reference the z table.] a-1. Is it necessary to apply the finite population correction factor? Yes No a-2. Calculate the expected value and the standard error of the sample proportion. (Round "expected value" to 2 decimal places and "standard error" to 4 decimal places.) b. What is the...
A random sample of size n = 241 is taken from a population of size N...
A random sample of size n = 241 is taken from a population of size N = 5,588 with mean μ = −68 and variance σ2 = 183. [You may find it useful to reference the z table.] a-1. Is it necessary to apply the finite population correction factor? Yes No a-2. Calculate the expected value and the standard error of the sample mean. (Negative values should be indicated by a minus sign. Round "standard error" to 2 decimal places.)...
A random sample of size n = 186 is taken from a population of size N...
A random sample of size n = 186 is taken from a population of size N = 5,613 with mean μ = −65 and variance σ2 = 183. [You may find it useful to reference the z table.] a-1. Is it necessary to apply the finite population correction factor? Yes No a-2. Calculate the expected value and the standard error of the sample mean. (Negative values should be indicated by a minus sign. Round "standard error" to 2 decimal places.)...
Suppose a random sample of size 50 is selected from a population with σ = 12....
Suppose a random sample of size 50 is selected from a population with σ = 12. Find the value of the standard error of the mean in each of the following cases. (Use the finite population correction factor if appropriate. Round your answers to two decimal places.) (a) The population size is infinite. (b) The population size is N = 50,000. (c) The population size is N = 5,000. (d) The population size is N = 500.
1. Suppose a random sample of 100 elements is selected from a non-normally distributed population with...
1. Suppose a random sample of 100 elements is selected from a non-normally distributed population with a mean of µ = 30 and a standard deviation of σ = 8. a. What is the expected value of ?̅? b. What is the standard error of the mean ??̅? c. What is the sampling distribution of ?̅? Describe its properties. d. If we select a random sample of size n = 100, what is the probability that ?̅will fall within ±...
A sample size of 200 is selected from a population of with p=.30 a) Expected value...
A sample size of 200 is selected from a population of with p=.30 a) Expected value of p(dash on top)? b) Std error of p(dash on top)? c) Show sampling distribution of p(Dash on top) d) What does the sampling distribution of p(dash on top) show