Question

In studying tiscanpagr plans, Mr. Finglton whahes to emaimate the difference bebween menis and women's vieas regwing has appeal as a candidace: He asks his campaien manager to take fwo randerm independent samples and find the 99 \% confidence incerval for the dHerence A random sample ge 515 male voters and 595 female voters was taken. 120 men and 246 wompen favored Mr. 5 ingleton ars a candidate. Find this confidence interval Step 1 of 4 : Find the values of the tevo sample proportion. p^1 and^2 mound your answers to three decimal places Anser Hew te entet your arsetr lopens at new wndow?

Answer 1

To create a 99% confidence interval for the difference between male and female voters' support for a candidate, calculate the sample proportions for men (0.233) and women (0.413) as the first step in the process.

Step-by-step explanation:

The question concerns finding the 99% confidence interval for the difference between proportions of male and female voters favoring a candidate in politics, also known as constructing a confidence interval for the difference between two population proportions. To find this confidence interval, we calculate the sample proportions (p-hat1 and p-hat2) for both male and female votes first.

Step 1: Calculate the sample proportions as:

• p-hat1 (proportion of men favoring the candidate) = 120 / 515 ≈ 0.233
• p-hat2 (proportion of women favoring the candidate) = 246 / 595 ≈ 0.413

These are the two sample proportions required for the further steps to compute the confidence interval. In subsequent steps (not detailed here), we would use these sample proportions in combination with the sample sizes, the desired confidence level (99%), and the Z-score corresponding to that confidence level to calculate the margin of error and construct the confidence interval.