Final answer:
The Mathematics question pertains to calculating a sample proportion and z-score for constructing a 95% confidence interval in a college-level statistics context. The sample proportion is determined by the number of 'yes' votes divided by the total number of voters, and the z-score for a 95% confidence interval is typically 1.96.
Step-by-step explanation:
The subject of this question is Mathematics, specifically statistics involving the estimation of population proportions and the construction of confidence intervals. The grade level would be College, as it involves concepts typically taught in introductory statistics courses at that level.
In the given scenario, a sample proportion (p) can be calculated from the number of voters who said they will vote "yes", which is 144 out of 330. Thus, the sample proportion supporting the budget (p) is 144/330, and the proportion not supporting the budget (q) is 1 - p.
To calculate the associated z-score for a 95% confidence interval, one would use the standard normal distribution since the sample size is large enough. The z-score associated with a 95% confidence interval is approximately 1.96, which corresponds to the critical z-values that encompass the central 95% of the normal distribution.