Question

A college has 25000 students. Based on student personal information data, approximately 55 percent are Democrats. A simple random sample of 900 households were selected for a survey. The percentage of Democrats in the sample will be around 55% , give or take 1.66% or so.

Estimate the chance that between 42.45 percent and 47.55 percent of the students in the sample are Democrats_________.

Answer 1

Given that, population proportion (p) = 0.55

sample size (n) = 900

The mean and standard deviation of the sampling distribution of sample proportion are,

We want to find, the probability that between 42.45 percent and 47.55 percent of the students in the sample are Democrats.

That is to find,

Therefore, the chance that between 42.45 percent and 47.55 percent of the students in the sample are Democrats is 0.0000 or 0%