Answer:
Step-by-step explanation:
From the information given,
Number of sample, n = 200
Probability of success, p = 43/100 = 0.43
q = 1 - p = 1 - 0.43
q = 0.57
For a confidence level of 95%, the corresponding z value is 1.96.
The formula for determining the error bound for the proportion is
z × √pq/n
= 1.96 ×√(0.43 × 0.57)/200
= 1.96 × 0.035 = 0.0686
The upper boundary of the population proportion is
0.43 + 0.0686 = 0.5
The lower boundary of the population proportion is
0.43 - 0.0686 = 0.4
The error in the solution is
phat = 0.43/200 = 0.00215
Also,
[-0.0043, 0.0086] is wrong
