7.8 Awareness about cancer An experiment consists of asking your friends if they would like to raise money for a cancer association. Assuming half of your friends would agree to raise money, construct the sampling distribution of the sample proportion of affirmative answers obtained for a sample of:

a. One friend. (Hint: Find the possible sample proportion values and their probabilities)

b. Two friends. (Hint: The possible sample proportion values are 0, 0.50, and 1.0. What are their probabilities?)

c. Three friends. (Hint: There are 4 possible sample proportion values.)

d. Refer to parts a–c. Sketch the sampling distributions and describe how the shape is changing as the number of friends n increases.