Approximately 40% of Americans are considered obese. A random sample of 100 people is selected, and the number of obese individuals in the sample is determined. What is the probability that the sample proportion is greater than 0.45? A. 0.8413 B. 0.1587 C. 0.8461 D. 0.1539
Added by Tracey C.
Step 1
45. Given: p = 0.4 q = 0.6 n = 100 p̂ = 0.45 μ = p = 0.4 σ = √(p*q/n) = √(0.4*0.6/100) = 0.049 Calculate the z-score: z = (p̂ - μ) / σ z = (0.45 - 0.4) / 0.049 z = 1.02 Show more…
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