Question

(3 points) A marketing research firm wishes to determine if the residents of Caldwell, Idaho, would be interested in a new downtown restaurant. The firm selects a simple random sample of 165 phone numbers from the Caldwell phone book and calls each household. Only 60 of those called are willing to participate in the survey, and 44 participants would support a new downtown restaurant. (a) The sample in this survey is A. all households in the Caldwell phone book. B. all residents of Caldwell. C. the 165 phone numbers chosen. D. the 60 households that participated in the study. E. None of the above. (b) The population of interest is A. all households in the Caldwell phone book. B. the 60 households that participated in the study. C. all residents of Caldwell. D. the 165 phone numbers chosen. E. None of the above. (c) The chance that all 165 phone numbers chosen are located in one particular neighborhood in Caldwell is A. reasonably large due to the ''cluster'' effect. B. 165 divided by the size of the population of Caldwell. C. exactly 0. Simple random sampling will spread out the locations of the phone numbers selected. D. the same as for any other set of 165 phone numbers. E. None of the above.

Answer 1

In a marketing research survey in Caldwell, Idaho, a simple random sample of 165 phone numbers was chosen. The sample represents the 165 phone numbers chosen for the survey, the population of interest is all residents of Caldwell, and the chance of all 165 phone numbers being located in one neighborhood is exactly 0.

Step-by-step explanation:

In this question, we are given that a marketing research firm wants to determine if the residents of Caldwell, Idaho, would be interested in a new downtown restaurant. They select a simple random sample of 165 phone numbers from the Caldwell phone book and call each household. Only 60 of those called are willing to participate in the survey, and 44 participants would support a new downtown restaurant. Let's answer each part of the question:

(a) The sample in this survey is: C. the 165 phone numbers chosen.

(b) The population of interest is: C. all residents of Caldwell.

(c) The chance that all 165 phone numbers chosen are located in one particular neighborhood in Caldwell is: C. exactly 0. Simple random sampling will spread out the locations of the phone numbers selected.

Answer 2

Interest in a new downtown restaurant in Caldwell, Idaho:

(a) The sample in this survey is:

C. the 165 phone numbers chosen.

(b) The population of interest is:

C. all residents of Caldwell.

(c) The chance that all 165 phone numbers chosen are located in one particular neighborhood in Caldwell is:

E. None of the above.

Step-by-step explanation:

Population of interest = residents of Caldwell, Idaho

Sample of the population = 165

Number of willing participants/respondents = 60

Proportion of participants supporting a new downtown restaurant = 44/60 = 73%