Sampling Dist Template

# Sampling Dist Template - The parent population parameter =...

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The parent population parameter: π = 0.60 A sample of size n = 500 is selected. What is the probability that the sample proportion is less than 0.58? What proportion or percentage of p values obtained from samples of size n = 500 is ̄ less than 0.58? n = 500 0.58 P(p < 0.58) ̄ 0.6 0.0219 z = (0.58 - 0.6) ⁄ 0.0219 = -0.91 P(z < -0.91) = 0.1814 The parent population parameter: π = 0.60 A sample of size n = 500 is selected. What is the probability that the sample proportion is greater than 0.63? What proportion or percentage of p values obtained from samples of size n = 500 is ̄ greater than 0.63? n = 500 0.63 0.6 0.0219 P(p > 0.63) ̄ z = (0.63 - 0.6) ⁄ 0.0219 = 1.37 P(z > 1.37) = 0.0853 The parent population parameter: π = 0.60 A sample of size n = 500 is selected. What is the probability that the sample proportion is between 0.567 and 0.633? What proportion or percentage of p values obtained from samples of size n = 500 is ̄ between 0.567 and 0.633? n = 500
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