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A 2018 Pew poll asked U.S. adults how often they go online. The responses are shown in the table. $$ \begin{array}{ll} \text { Almost constantly } & 26 \% \\ \hline \text { Several times a day } & 43 \% \\ \hline \text { About once a day } & 8 \% \\ \hline \text { Several times a week } & 6 \% \\ \text { Less often } & 5 \% \end{array} $$ a. What percentage of respondents go online less than once a day? b. In a group of 500 U.S. adults, how many would you expect go online almost constantly or several times a day?

Short Answer

Expert verified
a. 19% of respondents go online less than once a day. b. An estimated 345 out of 500 U.S adults go online almost constantly or several times a day.

Step by step solution

01

Determine the percentages for less than once a day

First, add the percentages for 'About once a day', 'Several times a week' and 'Less often'. These categories represent the respondents that go online less than once a day.\n\nSo, \(8\% + 6\% + 5\% = 19\%\)
02

Estimate the number of respondents going online almost constantly or several times a day

To estimate the number of respondents out of 500 that go online almost constantly or several times a day, first, add the percentages for 'Almost constantly' and 'Several times a day'. Then multiply this with the total number of respondents. \n\nSo, \(26\% + 43\% = 69\% \n\n69\% of 500 = 0.69 * 500 = 345\) \n\nTherefore, an estimated 345 U.S. adults go online almost constantly or several times a day.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Percentage Calculation
Understanding percentage calculation is fundamental when analyzing data because it helps reveal proportions and patterns within different kinds of information. When you see percentages, like the 26% in our survey who go online 'Almost constantly,' it's showing how large that group is relative to a whole, in this case, the total number of survey respondents. To calculate a percentage of a number, you can convert the percentage into a decimal by dividing by 100 and then multiply it by the number. For example, to find out how many people from the 500 surveyed go online several times a day, you would convert 43% to 0.43 and multiply by 500, yielding 215 people.

Improving our grasp on this concept ensures that when faced with a real-world problem—such as determining what fraction of a population engages in a particular behavior—we can make accurate and helpful predictions or assessments.
Data Interpretation
Data interpretation involves drawing conclusions and understanding the implications of the data presented. For instance, in the Pew poll data, knowing that 26% of U.S. adults go online almost constantly can lead to further questions and interpretations like pondering the impact of constant connectivity on daily life or the potential market size for online services. This ability to interpret data extends beyond just reading the numbers off a table; it requires context. By providing the context of how often U.S. adults go online, the Pew poll gives insight into internet usage habits which might influence decisions in fields ranging from marketing to public policy.Data Interpretation is more than mere calculations; it's about understanding what the numbers tell us about behavior and preferences within a given population.
Survey Data Analysis
Survey data analysis is the process of examining data collected from a survey to draw meaningful conclusions. When working with survey data, analysts must consider the size and representativeness of the sample, the phrasing of questions, and the way responses are categorized. In our example, the Pew poll categorized responses into frequency of internet use. Analysis of these categories helps to reveal not only the percentage of people within each category but also allows an understanding of broader trends in internet usage. Analysts must take these findings and consider biases, variances, and potential errors that might affect the survey’s accuracy and reliability. Effective survey analysis yields insights that can guide critical decision-making for businesses, policymakers, and community leaders.

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