An investment website can tell what devices are used to acce

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 computer sometimes). they draw a random sample of 100 investers from their customers. Suppose that the true proportion of smart phone ussers is 43%

What would the mean of the sampling portion be?

If the sample size was increased to 400, would your answer change? Explain.

Yes, the shape would change

No, the shape, symmetry characteristics, and mean will only change is the sample size is increased to 1000.

Yes, the mean would increase

No, the shape & symmetry chracteristics and mean would still be almost the same.

Solution

Answer to the question)

Mean for proprotions is given by the formula

M = n*p

We got n = 100

p = 0.43

thus Mean = 100*0.43 = 43

.

If the sample size n increases to 400

the new mean would be

M new = 400*0.43 = 172

.

Thus we see that the Mean value changes

Hence the correct answer choice is : \"Yes the mean would increase\"