Suppose that we study to find the trueproportion of females in the United States. Using SRS, wesample 100 people and record the sample proportion. Werepeat the process 1000 times and get 1000 sampleproportions ('s) as a result. Assume that the true populationproportion of female is 0.52. Ifyou draw histogram of 1000 's from the scenario, what doyou expect for the shape, center, and spread of thehistogram?

a.

Shape : Skewed to the right, Center(mean) : 0.50, Spread (Standard error) : 0.02

b.

Shape : Roughly normal, Center(mean) : 0.52, Spread (Standard error) : 0.02

c.

Shape : Roughly normal, Center(mean) : 0.52, Spread (Standard error) : 0.05

d.

Shape : Skewed to the left, Center(mean) : 0.50, Spread (Standard error) : 0.05