To investigate, first define thePopulation Characteristicsin the JMP applet. Change the population proportion to 0.11 and the category name to Contacts. UnderDemo Characteristics, change the sample size to 15 and the number of samples to 1000. Then click 'Draw Additional Samples' to draw 1000 random samples of sizen= 15 and to calculate the sample proportion that wear contacts for each of the 1000 samples.

Copy and paste the table in the textbox below to record your answers as follows:

a) In the first row of the table below, first calculate the value of np(1 -p), then describe the shape of the distribution of sample proportions, and also record the mean of the sample proportions and the standard deviation of the sample proportions.

b) Repeat this process with 1000 random samples of size n = 30 adults, recording the results in the second row of the table below.

c) Repeat this process with 1000 random samples of size n = 150 adults, recording the results in the third row of the table below.

Binary Population withp= 0.11
Sample Size (n)	np(1 -p)	Shape of Sample Proportions	Mean of Sample Proportions	Std Dev of Sample Proportions
15
30
150