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Get Full Access to Elementary Statistics - 12 Edition - Chapter 11.3 - Problem 7cre
Get Full Access to Elementary Statistics - 12 Edition - Chapter 11.3 - Problem 7cre

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# Honesty Is the Best Policy In a USA Today survey of 456 ISBN: 9780321836960 18

## Solution for problem 7CRE Chapter 11.3

Elementary Statistics | 12th Edition

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Problem 7CRE

Honesty Is the Best Policy? In a ?USA Today? survey of 456 subjects, 269 agreed that honesty is always the best policy. Assume that we plan to use the survey results to estimate the proportion of the population who believe that honesty is always the best policy. a. Is the sample proportion of 269/456 a statistic or a parameter? b. Are frequency counts such as 269 categorical data or quantitative data? c. Are frequency counts such as 269 discrete or continuous? d. What does it mean for a sample, such as the 456 surveyed subjects, to be a simple random sample? e. The ?USA Today? survey was conducted as follows: A question was posted on the ?USA Today?Web site and Internet users could choose to respond. In statistics, is this a valid sampling plan?

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Solution 7CRE Step1: From the above given problem we have In a USA Today survey of 456 subjects, 269 agreed that honesty is always the best policy. Assume that we plan to use the survey results to estimate the proportion of the population who believe that honesty is always the best policy. Step2: Our aim is to find out a).Is the sample proportion of 269/456 a statistic or a parameter b).Are frequency counts such as 269 categorical data or quantitative data c). Are frequency counts such as 269 discrete or continuous d).What does it mean for a sample, such as the 456 surveyed subjects, to be a simple random sample e). The USA Today survey was conducted as follows: A question was posted on the USA TodayWeb site and Internet users could choose to respond. In statistics, is this a valid sampling plan Step3: a). irst let us understand what is statistic and what is parameter statistic: statistic is a characteristic or measure of sample. Parameter: a statistic is a characteristic or measure of population. Therefore, based on the given information the sample proportion of 269/456 is statistic b). let us understand what is categorical data and what is quantitative data categorical data:Categorical data is the statistical data type consisting of categorical variables quantitative data:Quantitative data are measures of values or counts and are expressed as numbers. Therefore, The frequency counts are q uantitative. c). let us understand what is discrete and what is continuous Discrete: Variables that can only take on a finite number of values are called "discrete variables Continuous: A continuous variable is a variable that has an infinite number of possible values. Therefore, The frequency counts 269 is d iscrete. d).let us understand imple random sample simple random sample:A simple random sample is a subset of a statistical population in which each member of the subset has an equal probability of being chosen. Therefore,here all samples have same chance of getting selected for the study. Hence, it is simple random sample. e).This is not countable as a valid sample because its people’s volunteer discretion whether they want to take the survey or not. Such sample may result in poor response rate.

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##### ISBN: 9780321836960

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