Sampling_Distribution_(continued)

The mean of those p s will be p the standard

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Unformatted text preview: those p s will be p . ˆ The standard deviation of those p s will be Notation: ˆ p ∼ Normal p, p (1−p ) n. p (1 − p ) n Demo: http://lock5stat.com/statkey/sampling_1_cat/sampling_1_ca Sampling Distribution of the Sample Proportion (continued Checkpoint 3 - Modeling and Inference Sampling Distribution of the Sample Proportion Assumptions and Conditions for CLT Assumptions: Independence Assumption: all observations are independent of each other. Sample Size Assumption: n must be sufficiently large. Conditions: Simple Random Sample: sample is randomly selected 10% condition: n ≤ 10% of population Success/Failure Conditions: np ≥ 10 and nq ≥ 10 Sampling Distribution of the Sample Proportion (continued Checkpoint 3 - Modeling and Inference Sampling Distribution of the Sample Proportion Using The Central Limit Theorem 200 randomly selected American drivers were asked if they text while driving. 48 of them admitted that the did. 1 2 Can the sampling distribution of the proportion be approximately normal? Fin...
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