Refer to given Exercise.
a. Reconstruct the table using the two categorical variables "letter listed first (S or Q)" and "ordering of letter chosen (listed first or second)."
b. Draw an appropriate picture to accompany your numerical summary.
c. Explain whether you think the variables used in Exercise 2.35 or the variables used in this exercise were more appropriate for illustrating the point of this dataset.
Exercise
In the sample survey described in Section 2.1, there were 92 students who responded to "Randomly pick a letter - S or Q." Of these 92 students, 61 picked S and 31 picked Q. The order of the letter choices was reversed for another 98 students who responded to "Randomly pick a letter - Q or S." Of these 98 students, 45 picked S and 53 picked Q.
a. Construct a two-way table of counts summarizing the relationship between the letter listed first in the survey question and the letter picked by the student.
b. For the 92 students who saw S listed first in the question, determine the percents who picked S and Q.
c. For the 98 students who had Q listed first, determine the percents who picked S and Q.
d. Draw a bar chart of the percents found in parts (b) and (c) to show the relationship between the letter listed first and the letter picked.
e. Explain whether or not you think the letter listed first in the question affected the choice of letter.