Question

According to an article, 19% of the entire u.s. population have high-speed access to the internet. random samples of size 200 are selected from the u.s. population. among all the random samples of size 200, 90 % will have more than _____% who have high-speed access to the internet.

Answer 1

To find the percentage of random samples of size 200 that will have more than a certain percentage of people with high-speed access to the internet, we can use the concept of sampling distributions. The exact percentage value cannot be determined without specific values. Use the z-table to find the corresponding percentage based on the given z-score.

Step-by-step explanation:

To find the percentage of random samples of size 200 that will have more than a certain percentage of people with high-speed access to the internet, we can use the concept of sampling distributions. In this case, the population proportion of people with high-speed internet access is 19%. The sampling distribution of the proportion can be approximated by a normal distribution when the sample size is large. Using the normal distribution, we can find the z-score corresponding to the given percentage (90%) and then find the corresponding percentage using the z-table.

Let's calculate it:

1. First, find the z-score using the formula: z = (x - μ) / σ, where x is the given percentage, μ is the population proportion, and σ is the standard deviation.
2. Next, find the corresponding percentage using the z-table or a calculator.

For the given question, we need to find the percentage of samples with more than a certain percentage with high-speed internet access. We can't determine the exact percentage without knowing the specific value provided in the question. But, by following the steps mentioned above, you can find the exact value.