Question

A random sample of size 900 (Nine Hundreds) is taken from a population in which the proportion with the characteristic of interest is p = 0.60. Find the probability P (0.58 ? P? ? 0.62). [For large samples, the proportion P? is approximately normally distributed, with mean ?_{P?} = p and standard deviation ?_{P?} = ?(pq/n); where q = 1 - p] (A) ?: 0.01 ? p < 0.10 (B) ?: 0.10 ? p < 0.25 (C) ?: 0.25 ? p < 0.50 (D) ?: 0.50 ? p < 0.70 (E) ?: 0.70 ? p < 0.85 (F) ?: 0.85 ? p < 1.00

          A random sample of size 900 (Nine Hundreds) is taken from a population in which the proportion with the characteristic of interest is p = 0.60. Find the probability P (0.58 ? P? ? 0.62).

[For large samples, the proportion P? is approximately normally distributed, with mean ?_{P?} = p and standard deviation ?_{P?} = ?(pq/n); where q = 1 - p]

(A) ?: 0.01 ? p < 0.10 (B) ?: 0.10 ? p < 0.25 (C) ?: 0.25 ? p < 0.50
(D) ?: 0.50 ? p < 0.70 (E) ?: 0.70 ? p < 0.85 (F) ?: 0.85 ? p < 1.00

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A random sample of size 900 (Nine Hundreds) is taken from a population in which the proportion with the characteristic of interest is p = 0.60. Find the probability P (0.58 ? P? ? 0.62).

[For large samples, the proportion P? is approximately normally distributed, with mean ?P? = p and standard deviation ?P? = ?(pq/n); where q = 1 - p]

(A) ?: 0.01 ? p < 0.10 (B) ?: 0.10 ? p < 0.25 (C) ?: 0.25 ? p < 0.50
(D) ?: 0.50 ? p < 0.70 (E) ?: 0.70 ? p < 0.85 (F) ?: 0.85 ? p < 1.00

Added by Daniel M.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert David Nguyen

03/07/2022

Step 1

Given p = 0.60, we can find q = 1 - p = 0.40. The standard deviation (σ) is then √(pq/n) = √[(0.60)(0.40)/900] = 0.01667. Show more…

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A random sample of size 900 (Nine Hundred) is taken from a population in which the proportion with the characteristic of interest is p = 0.60. Find the probability P (0.58 < P < 0.62) For large samples, the proportion P is approximately normally distributed, with mean μ = p and standard deviation σ = √(pq/n), where q = 1 - p. (A) 0.01 ≤ p < 0.10 (B) 0.10 ≤ p < 0.25 (C) 0.25 ≤ p < 0.50 (D) 0.50 ≤ p < 0.70 (E) 0.70 ≤ p < 0.85 (F) 0.85 ≤ p < 1.00

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