A researcher wants to do a study to see what the proportion of vaccinated people is in a certain area of New Jersey. How many people need to be polled to be with 2% of the actual population proportion with 95% confidence?

Find the sample size required to estimate the percentage of statistics students who take their statistics course online.  Assume that we want 95% confidence that proportion from the sample is within two percentage points of the true population percentage.

Make your own problem about single sample estimating mean. Include all of your solution.

Researchers conducted two surveys about teens are their use of social media.  The first survey asked a random sample of 800 U.S. teens about their use of Instagram.  A second survey asked the same questions to a random sample of 2253 Canadian teens.  In these two studies, 73% of U.S. teens and 88% of Canadian teens said that they use Instagram.  Use these results to answer the following questions about the proportion of U.S. and Canadian teens that use Instagram.   Is there a statistically significant difference between the use of social media by U.S. teens and Canadian teens?      No, there is no difference between the proportion of U.S. teens that use Instagram and the proportion of Canadian teens that use Instagram because both the lower limit and the upper limit of the confidence interval are negative values.      Yes, the proportion of U.S. teens that use Instagram is significantly less than the proportion of Canadian teens that use Instagram difference because both…