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question 2 (3 points) a random sample of 2000 first graders in the us w…

Question

question 2 (3 points)
a random sample of 2000 first graders in the us were asked if they believe in santa claus. of the respondents, 148 said yes. what is the sample?
o a all first graders in the us
o b 2000 us first graders
o c the 148/2000 that believe in santa claus
o d the proportion of us first graders that believe in santa claus

Explanation:

Step1: Understand sample definition

A sample is a subset of a population. Here, the 2000 US first - graders are the subset (as the population is all first - graders in the US).

Step2: Analyze each option

  • Option a: “all first - graders in the US” is the population, not the sample.
  • Option b: “2000 US first - graders” is the subset (sample) taken from the population (all US first - graders) to study the proportion believing in Santa Claus.
  • Option c: “the 148/2000 that believe in Santa Claus” is a proportion within the sample, not the sample itself.
  • Option d: “the proportion of US first - graders that believe in Santa Claus” is a parameter (if for the population) or a statistic (if for the sample), but not the sample.

Answer:

B. 2000 US first graders