Final answer:
To estimate the population proportion with a given margin of error and confidence level, use the formula for sample size. In this case, the minimum sample size required is 931.
Step-by-step explanation:
To find the minimum sample size required to estimate the population proportion, we can use the equation for sample size:
n = (za/2)2 * (p'q') / E2
where:
- n is the sample size
- za/2 is the critical value corresponding to the desired confidence level
- p' is the estimated proportion of successes
- q' is the estimated proportion of failures
- E is the margin of error
In this case, the margin of error is 0.012 and the confidence level is 93%. Since pq is unknown, we can use p = 0.5 as an estimate. Plugging these values into the formula, we get:
n = (1.811)2 * (0.5*0.5) / (0.012)2 = 930.867
Rounding up to the nearest whole number, the minimum sample size required is 931.