A sample of 2,419 US residents were asked if they considered…

A sample of 2,419 US residents were asked if they considered their home “very clean” right now. The 95% confidence interval was (0.0146. 0.0259). Is the following interpretation of the confidence interval correct? “We are 95% confident that the sample proportion of Americans that consider their home very clean is between 0.0146 and 0.0259.”  

In 2014, the General Social Survey asked respondents who had…

In 2014, the General Social Survey asked respondents who had stock options through their company if those stocks were traded at the New York Stock Exchange. The 95% confidence interval was (0.016, 0.0413). Is the following a correct or incorrect interpretation? “There is a 95% probability that the population proportion of people with stock options who have their stocks traded at the New York Stock Exchange is between 0.016 and 0.0413.”

The amount of calories in a small serving of French Fries at…

The amount of calories in a small serving of French Fries at McDonalds is Normally distributed with a mean of 230 calories and a standard deviation of 25. Suppose that a random sample of 15 small servings was collected. What is the probability that the sample mean is greater than 240 calories?