Use the given data to find the minimum sample size required to estimate a population proportion or percentage. margin of error: 0.040.04; confidence level 9595%; modifyingabove p with caretp and modifyingabove q with caretq unknown
Answers
The minimum sample size required to estimate a population proportion or percentage is 306.
What is random sampling?
In statistics, a simple random sample is a subset of individuals chosen from a larger set in which a subset of individuals are chosen randomly, all with the same probability. It is a process of selecting a sample in a random way.
In order to determine the minimum sample size required to estimate a population proportion or percentage, we will use the following formula:
n = (z×p×q)/m²
where is the minimum sample size, z is the z-score corresponding to the desired confidence level, p is the population proportion, q is 1-p, and m is the desired margin of error.
In this case, the confidence level is 95%, so the corresponding z-score is 1.96. Since we don't know the population proportion, we will use the symbol p and q to represent it. Therefore, the formula becomes:
n = (1.96×p×q)/(0.04)²
To determine the minimum sample size, we need to determine the value of p and q. Since p + q = 1, if we set p to 0.5, then q will also be 0.5. Therefore, the minimum sample size is:
n = (1.96×0.5×0.5)/(0.04)² = 306.25
≈ 306
Therefore, the minimum sample size required to estimate a population proportion or percentage is 306.
Learn more about the random sample here:
brainly.com/question/12719656.
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The maximum value of p-hat*q-hat occurs where p-hat = .5 (found by taking the derivative of (p-hat)*(1-p-hat) and setting it equal to 0 to find the maximum. n = ( 2.5762( for 99% confidence interval)÷.0482 )*.5*.5 = 720.028 or 721
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1. The factors of 15 are 3 and 5 or 1 and 15. You are looking for the pair that is two apart, which are 3 and 5. Because they add up to be negative 2, 5 must be negative, so the two numbers you get are 3 and -5. The rest can be solved similarly:
2. (Out of 1 and 32, 2 and 16, and 4 and 8, only 4 and 8 works) -8+4=-4, -8*4=-32
3. (Out of 1 and 14, and 2 and 7, only 2 and 7 works) -7+2=-5, -7*2=-14
4. (Out of 1 and 24, 2 and 12, 3 and 8, and 4 and 6, only 3 and 8 works) -3+8=5, -3*8=-24.
Answer:
-3 + 8 = 5, -3 · 8 = -24
Hope this helps!!!
Step-by-step explanation:
4x² = 8x-7?