Having trouble in the last section, need help. Please show work. Everything else

Question

Having trouble in the last section, need help. Please show work. Everything else is correct here.

A random sample of n = 76 measurements is drawn from a binomial population with probability of success 0.3. Complete parts a through d below a. Give the mean and standard deviation of the sampling distribution of the sample proportion, p. The mean of the sampling distribution of p is 0.3 The standard deviation of the sampling distribution of p is 0.0526 (Round to four decimal places as needed.) b. Describe the shape of the sampling distribution of p 0 A. The shape of the sampling distribution of p is approximately normal because the sample size is small The shape of the sampling distribution of p is approximately normal because the sample size is large OC. The shape of the sampling distribution of p is approximately uniform because the sample size is small The shape of the sampling distribution of p is approximately uniform because the sample size is large c. Calculate the standard normal z-score corresponding to a value of p=0.41 The standard normal z-score corresponding to a value of p=0.41 is 2.09 (Round to two decimal places as needed.) d. Find Pp 0.41) The probability that p is greater than 0.41 is (Round to four decimal places as needed.)

Explanation / Answer

P(p_hat > 0.41) = P(Z > 2.09) .....from part c

P(Z > 2.09) = 1 - P(Z < 2.09) = 1 - 0.9817 = 0.0183 ..........Using z table

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