Statistical Reasoning for Everyday Life (5th Edition)
Statistical Reasoning for Everyday Life (5th Edition)
5th Edition
ISBN: 9780134494043
Author: Jeff Bennett, William L. Briggs, Mario F. Triola
Publisher: PEARSON
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Textbook Question
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Chapter 2, Problem 1CRE

Germs. In a Wakefield Research survey, 1003 subjects were asked if they ever hesitated to give a handshake because of a fear of germs. Of these respondents, 41.0% answered “yes.”

  1. a. What is the number of respondents who answered “yes”?
  2. b. If 24 of the respondents said that they were not sure, what is the percentage of “not sure” responses?
  3. c. Given that the possible responses are “yes,” “no,” and “not sure,” are the data considered quantitative or qualitative? What is the level of measurement of those responses (nominal, ordinal, interval, or ratio)?
  4. d. Given that the survey was sponsored by Purell, a manufacturer of hand sanitizer products, is there any reason to question the results?

a.

Expert Solution
Check Mark
To determine

Find the number of respondents who answered “yes”.

Answer to Problem 1CRE

The number of respondents who answered “yes” is 412.

Explanation of Solution

Calculation:

In a Wakefield Research survey, of 1,003 subjects 41% said “yes” for the question “if ever hesitated to give handshake because of a fear of germs”.

Denote x as the actual number of respondents.

The actual number of respondents is:

x=Percentage×Sample size=41%×1,003=41100×1,003=41,123100=411.23412

Thus, the actual number of respondents is 412.

b.

Expert Solution
Check Mark
To determine

Find the percentage of respondents who answered “not sure”.

Answer to Problem 1CRE

The percentage of respondents who answered “not sure” is 2.4%.

Explanation of Solution

Calculation:

The of the respondents said that they were not sure.

The percentage of respondents who answered “not sure” is:

Percentage=xsample size×100%=241,003×100%=0.024×100%2.4%

Thus, the percentage of respondents who answered “not sure” is 2.4.

c.

Expert Solution
Check Mark
To determine

State whether the data considered as quantitative or qualitative.

Identify the measurement level as nominal, ordinal, interval or ratio for the given responses.

Answer to Problem 1CRE

The data is considered as qualitative.

The level of measurement is nominal.

Explanation of Solution

The given responses are, “yes”, “no” and “not sure”.

Qualitative data:

Qualitative data are those in which the data values contains non-numerical entries or categories such as gender, eye color, left handed or right handed etc.

Quantitative data:

Quantitative data are basically numerical values and those values are the representation of counts or measurements.

Here, the given data is qualitative because the responses are categorical and non-numeric. That is, the given responses, “yes”, “no” and “not sure” are not counted or measured.

Thus, the data is considered as qualitative.

Nominal measurement:

Nominal measurement is the most basic form of measurement that names or categorizes or classifies data. It is the weakest and easiest form of measurement.

Ordinal measurement:

Ordinal measurement is the measurement that ranks the data in a logical manner. It can be used when a natural ordering is present in the data to give the relative position of one object with respect to another. Numerical values can be assigned to the orders of the data, even when the data values are not naturally numerical. The properties of nominal measurement are applicable for ordinal measurement.

Interval measurement:

Interval measurement is the measurement that can be applied to data that naturally occur in the numerical form and counting of these values is logical. This scale of measurement does not have a meaningful “zero” value. However, the difference between any two points on the scale is meaningful. The operations of addition and subtraction on this scale are meaningful. The properties of nominal and ordinal measurements are applicable for interval measurement.

Ratio measurement:

Ratio measurement is the strongest form of measurement that can be applied to data that naturally occur in the numerical form and counting of these values is logical. This scale of measurement has a meaningful “zero” value. The operations of addition, subtraction, multiplication and division on this scale are meaningful. The properties of nominal, ordinal and interval measurements are applicable for ratio measurement.

The responses of the individuals are categorized into “yes”, “no” and “not sure”. The responses cannot be ranked in any logical order.

Hence, the data has nominal measurement level.

d.

Expert Solution
Check Mark
To determine

Explain whether there is any reason to question the obtained results.

Answer to Problem 1CRE

Yes, there is reason for the sponsor to question the obtained results.

Explanation of Solution

It is given that the survey was sponsored by Purell, a manufacturer of hand sanitizer.

The sponsor may have possibilities to have favorable results. Because somehow the sponsor may have the financial interest in the results obtained in favor to hand sanitizer products.

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Chapter 2 Solutions

Statistical Reasoning for Everyday Life (5th Edition)

Ch. 2.1 - Does It Make Sense? For Exercises 58, determine...Ch. 2.1 - Does It Make Sense? For Exercises 58, determine...Ch. 2.1 - Does It Make Sense? For Exercises 58, determine...Ch. 2.1 - Does It Make Sense? For Exercises 58, determine...Ch. 2.1 - Does It Make Sense? For Exercises 58, determine...Ch. 2.1 - Does It Make Sense? For Exercises 58, determine...Ch. 2.1 - Qualitative versus Quantitative Data. In Exercises...Ch. 2.1 - Qualitative versus Quantitative Data. In Exercises...Ch. 2.1 - Discrete or Continuous. In Exercises 1928, state...Ch. 2.1 - Discrete or Continuous. In Exercises 1928, state...Ch. 2.1 - Discrete or Continuous. In Exercises 1928, state...Ch. 2.1 - Discrete or Continuous. In Exercises 1928, state...Ch. 2.1 - Discrete or Continuous. In Exercises 1928, state...Ch. 2.1 - Discrete or Continuous. In Exercises 1928, state...Ch. 2.1 - Discrete or Continuous. In Exercises 1928, state...Ch. 2.1 - Discrete or Continuous. In Exercises 1928, state...Ch. 2.1 - Discrete or Continuous. In Exercises 1928, state...Ch. 2.1 - Discrete or Continuous. In Exercises 1928, state...Ch. 2.1 - Levels of Measurement. For the data described in...Ch. 2.1 - Levels of Measurement. For the data described in...Ch. 2.1 - Levels of Measurement. For the data described in...Ch. 2.1 - Levels of Measurement. For the data described in...Ch. 2.1 - Levels of Measurement. For the data described in...Ch. 2.1 - Levels of Measurement. For the data described in...Ch. 2.1 - Levels of Measurement. For the data described in...Ch. 2.1 - Levels of Measurement. For the data described in...Ch. 2.1 - Levels of Measurement. For the data described in...Ch. 2.1 - Levels of Measurement. For the data described in...Ch. 2.1 - Levels of Measurement. For the data described in...Ch. 2.1 - Levels of Measurement. For the data described in...Ch. 2.1 - Meaningful Ratios? In Exercises 4148, determine...Ch. 2.1 - Meaningful Ratios? In Exercises 4148, determine...Ch. 2.1 - Meaningful Ratios? In Exercises 4148, determine...Ch. 2.1 - Meaningful Ratios? In Exercises 4148, determine...Ch. 2.1 - Meaningful Ratios? In Exercises 4148, determine...Ch. 2.1 - Meaningful Ratios? In Exercises 4148, determine...Ch. 2.1 - Meaningful Ratios? In Exercises 4148, determine...Ch. 2.1 - Meaningful Ratios? In Exercises 4148, determine...Ch. 2.1 - Complete Classification. In Exercises 4956,...Ch. 2.1 - Complete Classification. In Exercises 4956,...Ch. 2.1 - Complete Classification. In Exercises 4956,...Ch. 2.1 - Complete Classification. In Exercises 4956,...Ch. 2.1 - Prob. 53ECh. 2.1 - Complete Classification. In Exercises 4956,...Ch. 2.1 - Prob. 55ECh. 2.1 - Complete Classification. In Exercises 4956,...Ch. 2.2 - Error Type. Distinguish between random errors and...Ch. 2.2 - Absolute and Relative. Distinguish between the...Ch. 2.2 - Accuracy and Precision. Distinguish between...Ch. 2.2 - Honest Numbers. Why can it be misleading to give...Ch. 2.2 - Does It Make Sense? For Exercises 58, determine...Ch. 2.2 - Does It Make Sense? For Exercises 58, determine...Ch. 2.2 - Does It Make Sense? For Exercises 58, determine...Ch. 2.2 - Does It Make Sense? For Exercises 58, determine...Ch. 2.2 - IRS. An IRS agent reviews tax returns to identify...Ch. 2.2 - Safe Air Travel. Before taking off, a pilot is...Ch. 2.2 - Technical Specifications. A smartphone battery is...Ch. 2.2 - Crime Statistics. Former New York City Police...Ch. 2.2 - Sources of Errors. For each measurement described...Ch. 2.2 - Sources of Errors. For each measurement described...Ch. 2.2 - Sources of Errors. For each measurement described...Ch. 2.2 - Sources of Errors. For each measurement described...Ch. 2.2 - Sources of Errors. For each measurement described...Ch. 2.2 - Sources of Errors. For each measurement described...Ch. 2.2 - Sources of Errors. For each measurement described...Ch. 2.2 - Sources of Errors. For each measurement described...Ch. 2.2 - Absolute and Relative Errors. In Exercises 2124,...Ch. 2.2 - Absolute and Relative Errors. In Exercises 2124,...Ch. 2.2 - Absolute and Relative Errors. In Exercises 2124,...Ch. 2.2 - Absolute and Relative Errors. In Exercises 2124,...Ch. 2.2 - Minimizing Errors. Twenty-five people, including...Ch. 2.2 - Minimizing Errors. When a model 22F car battery is...Ch. 2.2 - Accuracy and Precision in Corvette Weight. A new...Ch. 2.2 - Accuracy and Precision in Height. Assume that your...Ch. 2.2 - Accuracy and Precision in Weight. Suppose your...Ch. 2.2 - Prob. 30ECh. 2.2 - Believable Facts? Exercises 3138 give statements...Ch. 2.2 - Believable Facts? Exercises 3138 give statements...Ch. 2.2 - Prob. 33ECh. 2.2 - Believable Facts? Exercises 3138 give statements...Ch. 2.2 - Prob. 35ECh. 2.2 - Believable Facts? Exercises 3138 give statements...Ch. 2.2 - Believable Facts? Exercises 3138 give statements...Ch. 2.2 - Believable Facts? Exercises 3138 give statements...Ch. 2.3 - Statistical Literacy and Critical Thinking...Ch. 2.3 - Percentage Difference. Distinguish between...Ch. 2.3 - Of versus More Than. Explain the difference...Ch. 2.3 - Percentage Points. Explain the difference between...Ch. 2.3 - Does It Make Sense? For Exercises 58, determine...Ch. 2.3 - Does It Make Sense? For Exercises 58, determine...Ch. 2.3 - Does It Make Sense? For Exercises 58, determine...Ch. 2.3 - Does It Make Sense? For Exercises 58, determine...Ch. 2.3 - Concepts and Applications Fractions, Decimals,...Ch. 2.3 - Fractions, Decimals, Percentages. Express the...Ch. 2.3 - Percentage Practice. A study was conducted of...Ch. 2.3 - Percentage Practice. A study was conducted to...Ch. 2.3 - Percentage of Media commonly report survey...Ch. 2.3 - Percentage. A New York Times editorial criticized...Ch. 2.3 - Relative Change. Exercises 1522 each provide two...Ch. 2.3 - Relative Change. Exercises 1522 each provide two...Ch. 2.3 - Relative Change. Exercises 1522 each provide two...Ch. 2.3 - Relative Change. Exercises 1522 each provide two...Ch. 2.3 - Relative Change. Exercises 1522 each provide two...Ch. 2.3 - Relative Change. Exercises 1522 each provide two...Ch. 2.3 - Relative Change. Exercises 1522 each provide two...Ch. 2.3 - Relative Change. Exercises 1522 each provide two...Ch. 2.3 - Surveys. Some important analyses of survey results...Ch. 2.3 - Surveys. Some important analyses of survey results...Ch. 2.3 - Surveys. Some important analyses of survey results...Ch. 2.3 - Surveys. Some important analyses of survey results...Ch. 2.3 - Of versus More Than. Fill in the blanks in...Ch. 2.3 - Of versus More Than. Fill in the blanks in...Ch. 2.3 - Of versus More Than. Fill in the blanks in...Ch. 2.3 - Of versus More Than. Fill in the blanks in...Ch. 2.3 - Margin of Error. A Gallup poll of 1012 American...Ch. 2.3 - Margin of Error. A Pew Research Center survey of...Ch. 2.3 - Percentages of Percentages. Exercises 3336...Ch. 2.3 - Percentages of Percentages. Exercises 3336...Ch. 2.3 - Percentages of Percentages. Exercises 3336...Ch. 2.3 - Percentages of Percentages. Exercises 3336...Ch. 2.3 - TV Share. A recent Super Bowl football game had a...Ch. 2.3 - Misleading Percentage. In a Gallup poll of 1236...Ch. 2.4 - Index Number. What is an index number? Briefly...Ch. 2.4 - CPI. What is the Consumer Price Index (CPI)? How...Ch. 2.4 - Inflation. In making price comparisons, why is it...Ch. 2.4 - CPI Change. If the CPI increases, must wages also...Ch. 2.4 - Does It Make Sense? For Exercises 58, determine...Ch. 2.4 - Does It Make Sense? For Exercises 58, determine...Ch. 2.4 - Does It Make Sense? For Exercises 58, determine...Ch. 2.4 - Does It Make Sense? For Exercises 58, determine...Ch. 2.4 - Consumer Price Index. In Exercises 916, use the...Ch. 2.4 - Consumer Price Index. In Exercises 916, use the...Ch. 2.4 - Consumer Price Index. In Exercises 916, use the...Ch. 2.4 - Consumer Price Index. In Exercises 916, use the...Ch. 2.4 - Prob. 13ECh. 2.4 - Consumer Price Index. In Exercises 916, use the...Ch. 2.4 - Consumer Price Index. In Exercises 916, use the...Ch. 2.4 - Consumer Price Index. In Exercises 916, use the...Ch. 2.4 - Coffee Index. In Exercises 1720, use the following...Ch. 2.4 - Prob. 18ECh. 2.4 - Prob. 19ECh. 2.4 - Coffee Index. In Exercises 1720, use the following...Ch. 2.4 - Pizza Cost and Subway Fare. The pizza connection...Ch. 2.4 - Pizza Cost and Subway Fare. The pizza connection...Ch. 2.4 - Pizza Cost and Subway Fare. The pizza connection...Ch. 2.4 - Pizza Cost and Subway Fare. The pizza connection...Ch. 2.4 - Prob. 25ECh. 2.4 - Prob. 26ECh. 2.4 - Prob. 27ECh. 2.4 - Housing Price Index. Realtors use an index to...Ch. 2.4 - Prob. 29ECh. 2.4 - Housing Price Index. Realtors use an index to...Ch. 2.4 - Prob. 31ECh. 2.4 - Housing Price Index. Realtors use an index to...Ch. 2 - Germs. In a Wakefield Research survey, 1003...Ch. 2 - Health Care Spending. Total spending on health...Ch. 2 - Prob. 3CRECh. 2 - Minimum Wage. The following table lists the...Ch. 2 - Braking reaction times of 36 randomly selected...Ch. 2 - What is the level of measurement of the values...Ch. 2 - Prob. 3CQCh. 2 - A researcher measures the braking reaction time of...Ch. 2 - Braking reaction times of 36 randomly selected...Ch. 2 - Recorded survey results include the states in...Ch. 2 - Prob. 7CQCh. 2 - Prob. 8CQCh. 2 - Prob. 9CQCh. 2 - Prob. 10CQCh. 2 - Politics Who Benefited Most from Lower Tax Rates?...Ch. 2 - Prob. 1.2FCh. 2 - Prob. 1.3F

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