An online news source reports that the proportion of smartphone owners who use a certain operating system is 0.216. Two simulations will be conducted to create a sampling distribution of the sample proportion from a population with proportion 0.216. Simulation A will consist of 1,000 trials with a sample size of 50. Simulation B will consist of 500 trials with a sample size of 100. Which of the following describes the centers and variabilities that should be apparent in the distributions generated by simulation A and simulation B? (A) The centers will be approximately equal, and the variabilities will roughly be equal. (B) The centers will be approximately equal, and the variability of simulation A will be greater than the variability of simulation B. (C) The centers will be approximately equal, and the variability of simulation A will be less than the variability of simulation B. (D) The center of simulation A will be greater than the center of simulation B, and the variabilities will be approximately equal. (E) The center of simulation A will be less than the center of simulation B, and the variability of simulation A will be less than the variability of simulation B.
An online news source reports that the proportion of smartphone owners who use a certain operating system is 0.216. Two simulations will be conducted to create a sampling distribution of the sample proportion from a population with proportion 0.216. Simulation A will consist of 1,000 trials with a sample size of 50. Simulation B will consist of 500 trials with a sample size of 100.
Which of the following describes the centers and variabilities that should be apparent in the distributions generated by simulation A and simulation B?
(A) The centers will be approximately equal, and the variabilities will roughly be equal.
(B) The centers will be approximately equal, and the variability of simulation A will be greater than the variability of simulation B.
(C) The centers will be approximately equal, and the variability of simulation A will be less than the variability of simulation B.
(D) The center of simulation A will be greater than the center of simulation B, and the variabilities will be approximately equal.
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