Suppose we need to estimate p, the proportion of Canadians willing to receive a COVID-19 vaccine. By taking a random sample of size n=100 we obtain a sample proportion p and we use this to determining the 95% confidence interval, (0.75,0.82). What is the correct interpretation? For 95% of all samples of size n=100, p lies in the interval (0.75, 0.82). For 95% of all samples of size n= 100, P lies in the interval (0.75, 0.82). For 95% of all samples of size n= 100, p lies in the resulting confidence interval. For 95% of all samples of size n= 100, i lies in the resulting confidence interval.

A random sample of n₁ = 261 people who live in a city were selected and 107 identified as a "dog person." A random sample of n2 = 107 people who live in a rural area were selected and 62 identified as a "dog person." Find the 99% confidence interval for the difference in the proportion of people that live in a city who identify as a "dog person" and the proportion of people that live in a rural area who identify as a "dog person." Round answers to to 4 decimal places. P1-P2< Question Help: Message instructor Submit Question

if n=20, x=43, and s=9, construct a confidence interval at a 98% confidence level, the data came from a normally distributed population.

A simple random sample of size n=40 is drawn from a population. The sample mean is found to be x=121.3 and the sample standard deviation is found to be x=12.3. Construct a​ 99% confidence interval for the population mean.