Final answer:
To find the minimum sample size such that the 95% confidence interval for a sample proportion of 0.35 does not include a population proportion of 0.25, one needs to use the confidence interval formula and find the smallest sample size n that pushes the lower limit of the interval above 0.25.
Step-by-step explanation:
The student's question involves finding the minimum sample size required so that the 95% confidence interval for a sample proportion (p') does not include the true population proportion (p). In this case, we have a sample proportion of 0.35, and the population proportion is 0.25.
To solve this, we use the formula for the confidence interval of a population proportion, which is p' ± z*sqrt((p'(1-p')/n), where z is the z-value corresponding to the 95% confidence level, p' is the sample proportion, and n is the sample size.
To determine the minimum sample size (n), we ensure that the lower limit of the confidence interval is greater than 0.25 for the 95% confidence level. This involves an iterative process or the use of statistical software to find the smallest n that meets this condition.
Without the full context of this question, we cannot provide a numerical answer, but from the given options, we suggest that the student use statistical software or algebraic methods to check which option satisfies the given conditions for the minimum value of n.