Question

An investment website can tell what devices are used to access the site. The site managers wonder whether they should enhance the facilities for trading via​ "smart phones," so they want to estimate the proportion of users who access the site that way​ (even if they also use their computers​ sometimes). They draw a random sample of 200 investors from their customers. Suppose that the true proportion of smart phone users is 37​%. Complete parts a through c below. ​b) What would be the mean of this sampling​ distribution? A. The mean would be nothing. ​(Type an integer or a​ decimal.) B. The mean cannot be determined.

Answer 1

Solution:

Given:

Sample size = n = 200

the true proportion of smart phone users is 37​%

that is: p = 0.37

Part b) What would be the mean of this sampling​ distribution?

For large sample size , sampling distribution of sample proportions is approximately Normal with mean of sample proportions is:

A. The mean would be 0.37