Suppose you take a simple random sample of size n=175 from the population of Reese's Pieces, still assuming that 45% of this population is orange (LaTeX: \piπ=.45). What is the probability that a sample proportion of orange candies will be between .35 and .55?

The  probability is  

Step-by-step explanation:

From the question we are told that

  The sample size is  n =  175

   The population proportion is  p =  0.45

Generally the mean of the sampling distribution is  

 Generally the standard deviation is mathematically represented as  

=>      

=>      

Generally the probability of  that the sample proportion of orange candies will be between 0.35 and  0.55 is  

=>  

Generally

So

=>  

From the z-table  

and

So

=>

answer: the answer for that is 22/3