Asked by Joey
Determine the sample size required to estimate a population proportion to within 0.032 with 95.7% confidence, assuming that you have no knowledge of the approximate value of the sample proportion.
Sample Size =
B. Repeat part the previous problem, but now with the knowledge that the population proportion is approximately 0.33.
Sample Size =
i don't understand how you can do this without the margin or error.
Sample Size =
B. Repeat part the previous problem, but now with the knowledge that the population proportion is approximately 0.33.
Sample Size =
i don't understand how you can do this without the margin or error.
Answers
Answered by
MathGuru
Try this formula:
n = [(z-value)^2 * p * q]/E^2
Note: n = sample size needed; .5 for p and .5 for q are used if no value is stated in the problem. E = maximum error, which is 0.032. Z-value is found using a z-table (for 95.7% confidence).
For B, use 0.33 for p and 0.67 for q.
Note: q = 1 - p
I'll let you take it from here.
n = [(z-value)^2 * p * q]/E^2
Note: n = sample size needed; .5 for p and .5 for q are used if no value is stated in the problem. E = maximum error, which is 0.032. Z-value is found using a z-table (for 95.7% confidence).
For B, use 0.33 for p and 0.67 for q.
Note: q = 1 - p
I'll let you take it from here.
Answered by
Amelia
Allen's hummingbird (Selasphorus sasin) has been studied by zoologist Bill Alther.† Suppose a small group of 11 Allen's hummingbirds has been under study in Arizona. The average weight for these birds is x = 3.15 grams. Based on previous studies, we can assume that the weights of Allen's hummingbirds have a normal distribution, with σ = 0.30 gram.
Find the sample size necessary for an 80% confidence level with a maximal error of estimate E = 0.09 for the mean weights of the hummingbirds. (Round up to the nearest whole number.)
Find the sample size necessary for an 80% confidence level with a maximal error of estimate E = 0.09 for the mean weights of the hummingbirds. (Round up to the nearest whole number.)
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.