A researcher wants to know how professional athletes in her city feel about safety measures. She obtains a list of 952 professional athletes in her city, selects 400 of them at random, and emails a questionnaire to them. 86 questionnaires are returned. Of these, 76% stated that they believe that the enforcement of safety measures needs to be completely overhauled. Classify the following groups as the population or the sample for this particular study. If a group does not belong in either category, leave it unplaced.

Define the population and sample

For this case the population represent all the professional athletes in the researcher city and we can assume that the sample size for tis population is N =982 and represent all the individuals of interest for the study and the parameter of interest is the proportion of athletes who believe that the enforcement of safety measures needs to be completely overhauled [tex]p[/tex].

In order to estimate te parameters of the population the researcher select a sample of 400 professional athletes and just 86 of them returns the questionnaire sent. So then the real sample is the n =86 people who return the info, because the other people are part of the non response rate, and from this sample she found that the proportion of athletes who believe that the enforcement of safety measures needs to be completely overhauled is [tex]\hat p=0.76[/tex].

Step-by-step explanation:

For this case the population represent all the professional athletes in the researcher city and we can assume that the sample size for tis population is N =982 and represent all the individuals of interest for the study and the parameter of interest is the proportion of athletes who believe that the enforcement of safety measures needs to be completely overhauled [tex]p[/tex].

In order to estimate te parameters of the population the researcher select a sample of 400 professional athletes and just 86 of them returns the questionnaire sent. So then the real sample is the n =86 people who return the info, because the other people are part of the non response rate, and from this sample she found that the proportion of athletes who believe that the enforcement of safety measures needs to be completely overhauled is [tex]\hat p=0.76[/tex].