13 PARTS A AND B **Estimation of Sample Size for Survey on Abolishing the Penny**A researcher aims to estimate the percentage of adults who support abolishing the penny. To achieve a precise estimate within 5 percentage points and a confidence level of 99%, the necessary sample size depends on the following scenarios:1. **Using a Previous Estimate of 34%:** - Determine the required sample size if a prior estimate of 34% is available.2. **Without Any Prior Estimates:** - Calculate the sample size needed when no prior estimates exist.**References for Calculation:**- Access the standard normal distribution tables through the provided links for accurate computation: - [Standard Normal Distribution Table (Page 1)](#) - [Standard Normal Distribution Table (Page 2)](#)**Input for Sample Size:**- Calculated sample size (rounded to the nearest integer): - (a) n = [ ]This setup helps ensure precise statistical analysis and valid survey results.

a) Given, Margin error = 0.05 Sample proportion = 0.34 Critical value: Using z-table, the z-critical value at the given significance level of α = 0.01 is, The required sample size is,b) Given, Margin error = 0.05 Assume sample proportion = 0.5 Critical value: Using z-table, the z-critical value at the given significance level of α = 0.01 is, The required sample size is,