Use the Internet? The Gallup organization conducted a survey in which 1025 randomly sampled adult Americans were asked, “How much time, if at all, do you personally spend using the Internet—more than 1 hour a day, up to 1 hour a day, a few times a week, a few times a month or less, or never?” The results of the survey were as follows:

b. What proportion of those surveyed never use the Internet?

Verified step by step guidance

1. Identify the total number of respondents surveyed, which is the sum of all the frequencies given in the table.
2. Calculate the total number of respondents by adding: 377 (More than 1 hour a day) + 192 (Up to 1 hour a day) + 132 (A few times a week) + 81 (A few times a month or less) + 243 (Never).
3. Determine the number of respondents who never use the Internet, which is given as 243.
4. Calculate the proportion of respondents who never use the Internet by dividing the number of 'Never' responses by the total number of respondents: \(\frac{243}{\text{total number of respondents}}\).
5. Express the proportion as a decimal or a fraction to represent the proportion of those surveyed who never use the Internet.

Key Concepts

Proportion

A proportion represents a part of the whole expressed as a fraction or decimal. It is calculated by dividing the number of favorable outcomes by the total number of observations. In this context, the proportion of people who never use the Internet is the count of 'Never' responses divided by the total survey sample.

Frequency Distribution

A frequency distribution is a summary of data showing the number of observations within each category. It helps organize raw data into a meaningful format, making it easier to analyze patterns or calculate statistics like proportions or percentages.

Random Sampling

Random sampling is a method where every individual in the population has an equal chance of being selected. This ensures the sample represents the population fairly, allowing generalizations from the sample data to the broader group with reduced bias.