In: Statistics and Probability
A professor states that in the United States the proportion of
college students who own iPhones...
A professor states that in the United States the proportion of
college students who own iPhones is .66. She then splits the class
into two groups: Group 1 with students whose last name begins with
A-K and Group 2 with students whose last name begins with L-Z. She
then asks each group to count how many in that group own iPhones
and to calculate the group proportion of iPhone ownership. For
Group 1 the proportion is p1 and for Group 2 the proportion is p2.
To calculate the proportion you take the number of iPhone owners
and divide by the total number of students in the group. You will
get a number between 0 and 1. What would you expect p1 and p2 to
be? Do you expect either of these proportions to be vastly
different from the population proportion of .66? Would you be
surprised if p1 was different than p2? Would you be surprised if
they were the same or similar? What statistical concept describes
the relationship between the first letter of someone’s last name
and whether or not they own an iPhone?