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Critical Thinking: What does the survey tell us? Surveys have become an integral part of our lives. Because it is so important that every citizen has the ability to interpret survey results, surveys are the focus of this project. The Pew Research Center recently conducted a survey of 1007 U.S. adults and found that 85% of those surveyed know what Twitter is.

Analyzing the Data

Assume that you are a newspaper reporter. Write a description of the survey results for your newspaper.

Short Answer

Expert verified

About 82.8% to 87.2% of the adults are familiar with Twitter. Approximately 12% to 17% of adults do not know what Twitter is. Thus, a sufficient proportion of the adults seem to be familiar with this social networking site.

Step by step solution

01

Given information

A survey consisted of 1007 U.S. adults. 85% of those who were surveyed know what Twitter is.

02

Description of survey results

Referring to Exercise 7-1FDD, the 95% confidence interval estimate of the percentage of adults, who know what Twitter is, is equal to (82.8%, 87.2%).

Based on the above interval, the following statements can be used as a report for the newspaper describing the results of the survey:

“According to the results of the survey, it can be said that there is 95% confidence that the percentage of adults who know what Twitter is lies between 82.8% and 87.2%. Upon observing the results, a significant proportion of people are familiar with the social media platform. Only about 12 to 17% of the people are not familiar with Twitter.”

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Most popular questions from this chapter

Finding Sample Size Instead of using Table 7-2 for determining the sample size required to estimate a population standard deviation s, the following formula can be used

n=12zα2d2

where corresponds to the confidence level and d is the decimal form of the percentage error. For example, to be 95% confident that s is within 15% of the value of s, use zα2=1.96 and d = 0.15 to get a sample size of n = 86. Find the sample size required to estimate s, assuming that we want 98% confidence that s is within 15% of σ.

In Exercises 9–16, assume that each sample is a simple

random sample obtained from a population with a normal distribution.

Comparing Waiting Lines

a. The values listed below are waiting times (in minutes) of customers at the Jefferson Valley Bank, where customers enter a single waiting line that feeds three teller windows. Construct a95% confidence interval for the population standard deviation .

6.5 6.6 6.7 6.8 7.1 7.3 7.4 7.7 7.7 7.7

b. The values listed below are waiting times (in minutes) of customers at the Bank of Providence, where customers may enter any one of three different lines that have formed at three teller windows. Construct a 95% confidence interval for the population standard deviation .

4.2 5.4 5.8 6.2 6.7 7.7 7.7 8.5 9.3 10.0

c. Interpret the results found in parts (a) and (b). Do the confidence intervals suggest a difference in the variation among waiting times? Which arrangement seems better: the single-line system or the multiple-line system?

How Many? The examples in this section all involved no more than 20 bootstrap samples. How many should be used in real applications?

In Exercises 9–16, assume that each sample is a simple random sample obtained from a population with a normal distribution.

Highway Speeds Listed below are speeds (mi/h) measured from southbound traffic onI-280 near Cupertino, California (based on data from Sig Alert). This simple random sample was obtained at 3:30 PM on a weekday. Use the sample data to construct a 95% confidence interval estimate of the population standard deviation. Does the confidence interval describe the standard deviation for all times during the week?

62 61 61 57 61 54 59 58 59 69 60 67

Confidence Intervals. In Exercises 9–24, construct the confidence interval estimate of the mean.

In a study of speed dating conducted at Columbia University, female subjects were asked to rate the attractiveness of their male dates, and a sample of the results is listed below (1 = not attractive; 10 = extremely attractive). Use a 99% confidence level. Can the result be used to estimate the mean amount of attractiveness of the population of all adult males?

5 8 3 8 6 10 3 7 9 8 5 5 6 8 8 7 3 5 5 6 8 7 8 8 8 7

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