Question

Calculate the minimum size of a simple random sample assuming a sampling error of 5% assuming that the population size is 100 elements

87

likes
436 views

Answer to a math question Calculate the minimum size of a simple random sample assuming a sampling error of 5% assuming that the population size is 100 elements

Expert avatar
Fred
4.4
115 Answers
To calculate the minimum size of a simple random sample assuming a sampling error of 5% and a population size of 100 elements, we can use the following formula: n = (z^2 * p * (1 - p)) / E^2 where n is the minimum sample size, z is the z-score that corresponds to the desired confidence level, p is the estimated proportion of the population, and E is the desired margin of error. Since the population size is small (100), we can use the finite population correction factor to adjust the formula: n = (N * z^2 * p * (1 - p)) / (N * E^2 + z^2 * p * (1 - p)) where N is the population size. Assuming a sampling error of 5%, we have E = 0.05. Since we don’t have any information about the population proportion, we can assume a conservative estimate of p = 0.5. To find the z-score that corresponds to a 95% confidence level, we can use a standard normal distribution table or calculator. The z-score for a 95% confidence level is approximately 1.96 1. Substituting the values into the formula, we get: n = (100 * 1.96^2 * 0.5 * (1 - 0.5)) / (100 * 0.05^2 + 1.96^2 * 0.5 * (1 - 0.5)) = 74.24 Therefore, the minimum size of a simple random sample assuming a sampling error of 5% and a population size of 100 elements is 74.

Frequently asked questions (FAQs)
What is the degree measure of an angle given that it is equivalent to π/6 radians?
+
What is the product of 17 multiplied by 34, divided by 13, added to 72, subtracted by 28, and finally multiplied by 3?
+
What is the result of (-12) multiplied by 7?
+
New questions in Mathematics
How do you think the company has increased or decreased its income?
a bank finds that the balances in its savings accounts are normally distributed with a mean of $500 and a standard deviation off of $40. What is the probability that a randomly selected account has a balance of more than $400?
[(36,000,000)(0.000003)^2]divided(0.00000006)
30. In 8 s, a car that starts from rest and moves with uniformly accelerated motion has achieved a speed of 72m/s. How much space must it travel to reach a speed of 90m/s? Sunshine: 450 m
A company that manufactures personal hygiene items purchases machinery for $220,000 that is considered to last 7 years; it is estimated that at the end of the period it will have a salvage value of $1000. Find: to. The depreciation rate. b. The book value at the end of the sixth year.
I need to know what 20% or £3292.75
The thermal representation f(x) = 20 times 0.8 to the power of x is known from an exponential function f. Specify the intersection point with the y-axis
Three squares have a total area of 35.25 𝑐𝑚2 . The larger square has twice the side-length of the middle-sized square. The smaller square has its side length exactly 0.5 cm smaller than the middle-sixed square. Find the side lengths of each of the three squares.
form a key for your lock containing the numbers 2 2 5 8 How many different keys can you form?
Calculate the minimum size of a simple random sample assuming a sampling error of 5% assuming that the population size is 100 elements
factor the polynomial completely over the set of complex numbers b(x)=x^4-2x^3-17x^2+4x+30
94 divided by 8.75
2x-5-x+2=5x-11
00 piece jigsaw puzzle. the completed puzzle is 10x10. each piech connects to at least 2 other pieces. i plan to assemble by taking pieces out of box one by one. if i've already taken out 2 pieces that dont directly connect, what is the minimum number of additional pieces that i need to draw to in order to guarentee that the original 2 pieces connect?
Find I (Intrest) using simple interest formula of 17700 @ 15% for 4 years
0<x<2π aralığındaki f(x)=x÷2 fonksiyonunun 0 < x < 4π için grafiğini çiziniz ve 0<x<2n için Fourier seri dönüşümünü gerçekleştiriniz.
a coffee shop has 9 types of creamer and 11 types of sweetener. In how any ways can a person make their coffee?
the length of the fenced in area is to be 5 ft greater than the width and the total amount of fencing to be used is 89 ft find the width and length
A small box measures 10 in. by 4 in. by 6 in. high. Find the volume of the box.
To apply a diagnostic test, in how many ways can 14 students be chosen out of 25? if the order does not matter