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Chapter 1: Q. 25 (page 51)

Use the following data to answer the next five exercises: Two researchers are gathering data on hours of video games played by school-aged children and young adults. They each randomly sample different groups of 150 students from the same school. They collect the following data.

Would the sample size be large enough if the population is the students in the school?

Short Answer

Expert verified

As the population of the students is from the same school, the sample size is large enough.

Step by step solution

01

Concept Introduction

The sample is a portion of the population that is chosen and analyzed in order to derive conclusions about the entire population of interest in statistics.

02

Explanation

According to the rule of sample size, a sample must be a maximum of 10% of the population size. As a result, in this case, if the sample size is 150 students and the population consists solely of students from one school, the sample of 150 students is sufficient.

03

Final answer

Hence, the sample size would be large enough if the population is the students in the school.

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Most popular questions from this chapter

Studies are often done by pharmaceutical companies to determine the effectiveness of a treatment program. Suppose that a new AIDS antibody drug is currently under study. It is given to patients once the AIDS symptoms have revealed themselves. Of interest is the average (mean) length of time in months patients live once they start the treatment. Two researchers each follow a different set of 40 patients with AIDS from the start of treatment until their deaths. The following data (in months) are collected.

Researcher A:

3; 4; 11; 15; 16; 17; 22; 44; 37; 16; 14; 24; 25; 15; 26; 27; 33; 29; 35; 44; 13; 21; 22; 10; 12; 8; 40; 32; 26; 27; 31; 34; 29; 17; 8; 24; 18; 47; 33; 34

Researcher B:

3; 14; 11; 5; 16; 17; 28; 41; 31; 18; 14; 14; 26; 25; 21; 22; 31; 2; 35; 44; 23; 21; 21; 16; 12; 18; 41; 22; 16; 25; 33; 34; 29; 13; 18; 24; 23; 42; 33; 29

Determine what the key terms refer to in the example for Researcher A.

variable

Political pollsters may be interested in the proportion of people who will vote for a particular cause.

Consider the following:

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In this case, X is an example of a:

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c. statistic.

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A scholarly article about response rates begins with the following quote:

“Declining contact and cooperation rates in random digit dial (RDD) national telephone surveys raise serious concerns about the validity of estimates drawn from such research.”[6]The Pew Research Center for People and the Press admits: “The percentage of people we interview – out of all we try to interview – has been declining over the past decade or more.”[7]

a. What are some reasons for the decline in response rate over the past decade?

b. Explain why researchers are concerned with the impact of the declining response rate on public opinion polls.

Table 1.26 contains the total number of deaths worldwide as a result of earthquakes from 2000 to 2012.

Use Table 1.26 to answer the following questions.

  1. What is the proportion of deaths between 2007 and 2012?
  2. What percent of deaths occurred before 2001?
  3. What is the percent of deaths that occurred in 2003 or after 2010?
  4. What is the fraction of deaths that happened before 2012?
  5. What kind of data is the number of deaths?
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