Suppose 100 students are asked if the cellphone they use is a smartphone or a basic phone and the 8.1.11 two-way table summarizes the results.

a. Find the proportion of males that own smartphones and the proportion of females that own smartphones.
b. Determine the MAD statistic.
c. When comparing two proportions, you could use the difference in the proportions or the MAD as the statistic. How do these two statistics compare in this example? Will they always have the same relationship as in this example? Explain.
d. Put the data from the table in the Multiple Proportions applet and make null distributions using both the difference in proportions and the MAD statistic. Describe how these distributions are different.
e. Based on your answer from part (c), explain why a distribution of MAD statistics is skewed right when the distribution of differences in proportions is bell-shaped.

Transcribed Image Text:

Female Male Total Smartphone 25 55 30 Basic phone 25 45 20 Total 50 50 100