The Labor Bureau wants to estimate, at a 90% confidence level, the proportion of all households that receive welfare. A preliminary sample showed that 17.5% of households in this sample receive welfare. The sample size that would limit the margin of error to be within 0.025 of the population proportion is:_________.
Answers
Answer:
Sample size should be atleast 625
Step-by-step explanation:
Given that the Labor Bureau wants to estimate, at a 90% confidence level, the proportion of all households that receive welfare
Sample proportion = 17.5%
Let n be the sample size
Standard error of sample proportion=
Z critical for 90% = 1.645
Margin of error = 1.645 * std error
Since margin of error<0.025 we have
Final answer:
The sample size that would limit the margin of error to be within 0.025 of the population proportion is approximately 185.
Explanation:
To estimate the sample size needed to limit the margin of error within 0.025, we can use the formula for sample size in proportion estimation. The formula is:
n = (Z^2 * p * (1-p)) / (E^2)
Where:
n = sample size
Z = Z-score corresponding to the desired confidence level
p = preliminary sample proportion
E = margin of error
Given that the confidence level is 90%, the Z-score for a 90% confidence level is approximately 1.645. The preliminary sample proportion is 17.5% (or 0.175) and the margin of error is 0.025.
Substituting these values into the formula:
n = (1.645^2 * 0.175 * (1 - 0.175)) / (0.025^2)
Simplifying the equation:
n = 1.645^2 * 0.175 * 0.825 / 0.025^2
n ≈ 185.16
So, the sample size that would limit the margin of error to be within 0.025 of the population proportion is approximately 185, rounded up to the nearest whole number.
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Charlotte had $86. She spent $15 on a ticket to the zoo and then her mom gave her $24. How much money does Charlotte have now? $____
Consider an investment of $6000 that earns 4.5% interest. How long would it take for the investment to reach 1500 if the interest is compounded monthly?
Answers
Answer: 5.4
Step-by-step explanation: 27/5, so 5x5 makes 25 and 2 remaining so 5x0.4=2 so answer is 5+0.4 which equals to 5.4
Answers
Answer:
406
Step-by-step explanation:
We need to find the unit rate or how many miles can they drive in 1 hour. So we do 696/12 which is 58. So we have 58 miles in 1 hour. Now we multiply the number of desired hours, 7 and multiply it by 696. Which is 406
Answers
Let y = f(x)
f(x) = sin x
g(x) = (2x^2 + 3x - 4)
Use the chain rule.
We want y' = f' (g(x)) • g'(x).
y' = cos(2x^2 + 3x - 4) • (4x + 3)
Done.
Answers
Answer:
Letter E represents the maximum of the data set on the box-plot.
Step-by-step explanation:
We now that in the given box-plot we have:
Letter A represents the minimum value of the data set.
Also in the given box of the whisker-box plot the lower value in the box represents the lower quartile or first quartile i.e. i.e. letter B.
Also, the middle value in the box-plot represents the middle quartile or median of the data i.e. i.e. letter C.
And the maximum value on the box represents the upper quartile i.e. i.e. letter D.
The maximum value of the data set is represented by letter E.
E is your correct answer cause that's the maximum range in that data there is no other range going past it.
Answers
the correct answer is $948
Answers
The correct option is polygon E.
What are polygons?
A polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.
Given that, Which polygons have at least one pair of parallel sides but are not parallelograms,
Such polygons are called trapezoid.
A trapezoid, also known as a trapezium, is a flat-closed shape having 4 straight sides, with one pair of parallel sides.
Hence, the correct polygon is E.
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