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jekas [21]
3 years ago
7

I want to take a survey of students at my university to find out what proportion like the new bus service on campus. how many wi

ll i need to survey if i want to estimate with 99% confidence the true proportion to within 2% if i believe that 75% of students like the bus service?
Business
1 answer:
laiz [17]3 years ago
5 0

Answer:

N = 3,120 (Approx)

Explanation:

Given:

z- score for 99% confidence = 2.58

Proportion (P) = 75% = 75 / 100 = 0.75

E = 2% = 0.02

Q = 1 - P = 1 - 0.75 = 0.25

Computation:

N = (Z/E)^2 \times pq

N = (2.58/0.02)^2 \times (0.75 \ times 0.25)

N = (129)^2 \times (0.1875)

N = (16,641) \times (0.1875)

N = 3,120.1875

Therefore, N = 3,120 (Approx).

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