Final answer:
The value used for the margin of error in a 95% confidence interval for a population proportion is approximately 1.96, not any of the values (A) 95, (B) 1.064, (C) 1.045, or (D) 1.06 provided in the options.
Step-by-step explanation:
The student is asking about the value to be used for the margin of error in a 95% confidence interval estimate for a population proportion. In statistics, a 95% confidence interval means that we would expect 95% of the calculated intervals to contain the true population proportion if we repeated the sampling process many times. For a 95% confidence interval, the typical Z-score used is approximately 1.96 (or 1.960 to be more precise), which corresponds to the value needed to capture the central 95% of the standard normal distribution.
The values presented in the question (A) 95, (B) 1.064, (C) 1.045, (D) 1.06, do not correspond to the Z-score for a 95% confidence interval. Therefore, none of these values would be correct when calculating the margin of error for a 95% confidence interval for a population proportion. If the question were asking about a 90% confidence interval, B (1.064) would be closer to the appropriate Z-score value, which is actually about 1.645 for a 90% confidence interval.