A political scientist wants to know how college students feel about the social security system. She obtains a list of the 3114 u

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A political scientist wants to know how college students feel about the social security system. She obtains a list of the 3114 u

ndergraduates at her college and mails a questionnaire to 250 students selected at random. Only 100 of the questionnaires are returned. In this study, the rate of non-response would be a. 0.25. b. 0.40. x. 0.75. d. 0.60

Mathematics

1 answer:

zzz [600] · Answer 1 · 2022-05-28T07:24:59+03:00

Answer: d. 0.60

Step-by-step explanation:

When are performing sample surveys , when the selected participant is giving any response is denoted as non - response.

The proportion of these participants of the sample is known as the non-response rate.

Given : A political scientist wants to know how college students feel about the social security system.

She obtains a list of the 3114 undergraduates at her college and mails a questionnaire to 250 students selected at random.

i.e. Sample size : n= 290

Only 100 of the questionnaires are returned.

Individual gave response =100

Individual gave no-response =250-100 =150

The rate of non-response $=\dfrac{\text{Individual gave no-response}}{n}$

$=\dfrac{150}{250} =0.60$

Hence, the rate of non-response would be 0.60 .

Thus , the correct option is d. 0.60.