Question

The 2010 census found that 14.5% of adults in the United States identified themselves as of Hispanic origin. Q5): An opinion poll plans to interview 1000 adults at random. What are the mean and standard deviation of the sampling distribution of the proportion of individuals of Hispanic origin for samples of this size

Answer 1

Answer:

The mean is  $\mu_{x} = 0.145$

The standard deviation is  $\sigma  =   0.0111$      

Step-by-step explanation:

From the question we are told that

   The population proportion is  p  =  0.145  

   The sample size is  n  =  1000

   

Generally because the sample size is sufficiently large  the mean of this sampling distribution  is  $\mu_{x} = p = 0.145$

Generally the standard deviation is mathematically represented as  

   $\sigma  =  \sqrt{ \frac{p(1- p )}{n } }$

=> $\sigma  =  \sqrt{ \frac{ 0.145 (1- 0.145  )}{  1000  } }$

=> $\sigma  =   0.0111$