Given a population with a proportion of 0.57. A random sample of 156 is obtained

Question

Given a population with a proportion of 0.57. A random sample of 156 is obtained. (a). What is the mean of the sampling distribution of the sample proportion? 57 (b). What is the standard error of the sampling distribution of the sample proportion? Round your answer to 4 decimal places. 0396 (c). Use the standard normal tables to find the twentieth percentile of the standard normal distribution 4565 (d 80% of the time the sample proportion will be greater than what value? Round your answer to two decimal places (Hint: use your answers from parts Use the closest z value a to c

Explanation / Answer

C) Z value for 20th percentile = - 1.04

D) Z = (X - mean) /sd

Z = - 1.04

Or, (X - 0.57)/0.0396 = - 1.04

Or, X = 0.57 - 1.04 * 0.0396

Or, X = 0.53 (ans)

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