A random sample of h = 78 measurements is drawn from a binomial population with probability of success 0.2. Complete parts a through d below. CELE 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 The standard deviation of the sampling distribution of p is (Round to four decimal places as needed.) b. Describe the shape of the sampling distribution of p. OA. The shape of the sampling distribution of p is approximately normal because the sample size is large. OB. The shape of the sampling distribution of p is approximately uniform because the sample size is large. OC. The shape of the sampling distribution of p is approximately normal because the sample size is small. OD. The shape of the sampling distribution of p is approximately uniform because the sample size is small. c. Calculate the standard normal'z-score corresponding to a value of p=0.32. The standard normal z-score corresponding to a value of p=0.32 is (Round to two decimal places as needed.)
A random sample of h = 78 measurements is drawn from a binomial population with probability of success 0.2. Complete parts a through d below. CELE 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 The standard deviation of the sampling distribution of p is (Round to four decimal places as needed.) b. Describe the shape of the sampling distribution of p. OA. The shape of the sampling distribution of p is approximately normal because the sample size is large. OB. The shape of the sampling distribution of p is approximately uniform because the sample size is large. OC. The shape of the sampling distribution of p is approximately normal because the sample size is small. OD. The shape of the sampling distribution of p is approximately uniform because the sample size is small. c. Calculate the standard normal'z-score corresponding to a value of p=0.32. The standard normal z-score corresponding to a value of p=0.32 is (Round to two decimal places as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A random sample of n = 78 measurements is drawn from a binomial population with probability of success 0.2. 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
The standard deviation of the sampling distribution of p is
(Round to four decimal places as needed.)
b. Describe the shape of the sampling distribution of p.
OA. The shape of the sampling distribution of p is approximately normal because the sample size is large.
OB. The shape of the sampling distribution of p is approximately uniform because the sample size is large.
OC. The shape of the sampling distribution of p is approximately normal because the sample size is small.
OD. The shape of the sampling distribution of p is approximately uniform because the sample size is small.
c. Calculate the standard normal'z-score corresponding to a value of p = 0.32.
The standard normal z-score corresponding to a value of p = 0.32 is
(Round to two decimal places as needed.)
d. Find P (p>0.32).
The probability that p is greater than 0.32 is
(Round to four decimal places as needed.)
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Step 1: Provide given information:
VIEWStep 2: (a) Find mean and standard deviation of sampling distribution of p_hat:
VIEWStep 3: (b) Describe the shape of sampling distribution of p_hat:
VIEWStep 4: (c) Calculate standard normal z-score of p_hat=0.32:
VIEWStep 5: Find the probability that sample proportion is greater than 0.32:
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