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Sampling frame Refer to the previous exercise. It is more common in telephone surveys to use random digit dialing equipment that selects the last four digits of a telephone number at random after being given the exchange (the first three digits). Explain how this sampling method results undercover which could lead to bias.

Short Answer

Expert verified

Due to the selection of a random sample, some groups in the population are left out. Bias results from this sampling inaccuracy.

Step by step solution

01

Given information

Random digit dialing equipment, which chooses the final four digits of a telephone number at random after being given the exchange, is more commonly used in telephone surveys (the first three digits).

02

Concept

When random sampling is not used, bias or systematic flaws in the way the sample represents the population can occur. Voluntary response samples, in which respondents choose their own respondents, and convenience samples, in which people who live nearby are included in the sample, are particularly biased.

03

Explanation

This sample approach excludes households in the community that do not have telephones. Households without a telephone would be poor, and those who cannot afford a phone would be poorer than those who just use cell phones and do not have a phone. Under-coverage happens because, due to the selection of a random sample, some groups in the population are left out. Bias results from this sampling inaccuracy.

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Most popular questions from this chapter

When we take a census, we attempt to collect data from

(a) a stratified random sample.

(b) every individual selected in an SRS.

(c) every individual in the population.

(d) a voluntary response sample.

(e) a convenience sample.

Systematic random sample Sample surveys often use a systematic random sample to choose a sample of apartments in a large building or housing units in a block at the last stage of a multistage sample. Here is a description of how to choose a systematic random sample. Suppose that we must choose 4 addresses out of 100 Because 100/4=25 we can think of the list as four lists of 25 addresses. Choose 1 of the first 25 addresses at random using Table D. The sample contains this address and the addresses 25,50, and 75 places down the list from it. If the table gives 13, for example, then the systematic random sample consists of the addresses numbered 13,38,63, and 88

(a) Use Table D to choose a systematic random sample of 5 addresses from a list of 200 Enter the table at line 120

(b) Like an SRS, a systematic random sample gives all individuals the same chance to be chosen. Explain why this is true. Then explain carefully why a systematic sample is not an SRS.

Internet charges (2.1) Some Internet service providers (ISPs) charge companies based on how much bandwidth they use in a month. One method that ISPs use for calculating bandwidth is to find the 95th percentile of a companyโ€™s usage-based on samples of hundreds of 5-minute intervals during a month.

(a) Explain what โ€œ95th percentileโ€ means in this setting.

(b) Which would cost a company more: the 95th percentile method or a similar approach using the

98th percentile? Justify your answer.

Do placebos really work? Researchers in Japan conducted an experiment on 131 individuals who were extremely allergic to poison ivy. On one arm, each subject was rubbed with a poison ivy leaf and told the leaf was harmless. On the other arm, each subject was rubbed with a harmless leaf and told it was poison ivy. All the subjects developed a rash on the arm where the harmless leaf was rubbed. Of the

13subjects, 11 did not have any reaction to the real poison ivy leaf.

(a) What was the placebo in this experiment?

(b) Explain how the results of this study support the idea of a placebo effect.

Online polls In June 2008, Parade magazine posed the following question: โ€œShould drivers be banned from using all cell phones?โ€ Readers were encouraged to vote online at parade.com. The July13,2008 issue of Parade reported the results: 2407(85%) said โ€œYesโ€ and 410(15%) said โ€œNo.โ€

(a) What type of sample did the Parade survey obtain?

(b) Explain why this sampling method is biased. Is 85% probably higher or lower than the true percent of all adults who believe that cell phone use while

driving should be banned? Why?

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