This is based on the U.S. American Community Survey from 2017-2021. We're going to use this value as our population proportion for households in the U.S. that have a broadband internet subscription.
Summary Statistics for the Population Proportion 0.87

For samples of size n=10 create a sampling distribution by running at least 2000 samples from the data set. Give your answers with 3 decimal places and units.
The standard error for the distribution of sample proportions from samples of size 10 is . (Note: proportions don't have units unless we change them into percentages.)

For samples of size n=100 create a sampling distribution by running at least 2000 samples from the data set. Give your answers with 3 decimal places and units.

The standard error for the distribution of sample proportions from samples of size 100 is .
Using your distribution of random samples of size 100, use the appropriate tail checkbox to find the probability that in a random sample of 100 households, 76.3% or fewer have a broadband internet subscription. Type the desired value along the x-axis.