According to a survey, only 20% of customers who visited the web site of a major retail store made a purchase. Random samples of size 50 are selected.Tthe mean of all the sample proportions of customers who will make a purchase after visiting the web site is _
With your limited data, I would say .2 * 50 = 10
To find the mean of all the sample proportions of customers who will make a purchase after visiting the website, we need to use the concept of sampling distribution.
The sampling distribution of a sample proportion is the distribution of all possible sample proportions that can be obtained from a given population. In this case, the population proportion of customers who make a purchase is 20%.
To calculate the mean of the sample proportions, we need to know the sampling distribution.
The sampling distribution of sample proportions is approximately normally distributed if certain conditions are met: the sample size should be large enough and the sampling must be conducted randomly.
Since the question states that random samples of size 50 are selected, we can assume that the sample size is large enough for the sampling distribution to be approximately normally distributed.
The mean of the sampling distribution of sample proportions is equal to the population proportion. Therefore, the mean of all the sample proportions of customers who will make a purchase after visiting the website is 20%.