Answer:
Step-by-step explanation:
a. Given p=0.15.
-The mean of a sampling proportion of n=5000 is calculated as:
-The standard deviation is calculated using the formula:
Hence, the sample mean is μ=750 and standard deviation is σ=0.0050
b. Given that p=0.15 and n=1000
#The mean of a sampling proportion of n=1000 is calculated as:
#-The standard deviation is calculated as follows:
Hence, the sample mean is μ=150 and standard deviation is σ=0.0113
c. For p=0.15 and n=500
#The mean is calculated as follows:
#The standard deviation of the sample proportion is calculated as:
Hence, the sample mean is μ=75 and standard deviation is σ=0.0160