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
48 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 slope of the line passing through the points (2, 3) and (-1, 7)?
+
Math question: What is 45% of 80?
+
What is the average temperature (in degrees Celsius) of a city over a 7-day period if the temperatures were 20, 22, 18, 16, 19, 21, and 25?
+
New questions in Mathematics
Let f(x)=||x|−6|+|15−|x|| . Then f(6)+f(15) is equal to:
5) A family with a father, mother and 3 children must sit on five chairs in a row and the only restriction is that the mother must be at one end. In how many different ways can they be seated?
I) Find the directional derivative of 𝑓(𝑥, 𝑦) = 𝑥 sin 𝑦 at (1,0) in the direction of the unit vector that make an angle of 𝜋/4 with positive 𝑥-axis.
If f(x) = 3x 2, what is the value of x so that f(x) = 11?
Serum cholesterol levels in men aged 18 to 24 years have a normal distribution with a mean 178.1mg/100 ml and standard deviation 40.7 mg/100 ml. The. Randomly choosing a man between 18 and 24 years old, determine the probability of your serum cholesterol level is less than 200. B. Whether a serum cholesterol level should be judged too high if it is above 7% higher, determine the value of the separation level of levels that are too high. w. Determine a 90% reference range for serum cholesterol level among men from 18 to 24 years old.
-3x 2y = -6; -5x 10y = 30
is the x element (180,270), if tanx-3cotx=2, sinx ?
Convert 78 percent to a decimal
(24, -7) is on the terminal arm of an angle in standard position. Determine the exact values of the primary trigonometric functions.
Find 2 numbers whose sum is 47 and whose subtraction is 13
The sum of two numbers is 144. Double the first number minus thrice the second number is equal to 63. Determine the first two numbers.
If a two-branch parallel current divider network, if the resistance of one branch is doubled while keeping all other factors constant, what happens to the current flow through that branch and the other branch? Select one: a. The current through the doubled resistance branch remains unchanged, and the current through the other branch decreases. b. The current through the doubled resistance branch decreases, and the current through the other branch remains unchanged. c. The current through the doubled resistance branch increases, and the current through the other branch remains unchanged. d. The current through both branches remain unchanged.
In an audience of 4000 people, 2 people are chosen, at random, to appear on stage. How many ways can the people be chosen?
Show work on 4108 divided by 4
Sections of steel tube having an inside diameter of 9 inches, are filled with concrete to support the main floor girder in a building. If these posts are 12 feet long and there are 18 of them, how many cubic yards of concrete are required for the job?
A person runs 175 yards per minute write a variable that represents the relationship between time and distance
Find the equation of a straight line that has slope 3 and passes through the point of (1, 7) . Write the equation of the line in general forms
Solve for z: 2z-6=10z+2
How many moles are there in 235 grams of potassium thiosulfate pentahydrate? K2S2O3*5(H2O)
Slope (7,3) and (9,5)