A study of identity theft looked at how well consumers protectthemselves from this increasingly prevalent crime. The behaviors of63 college students were compared with the behaviors of59nonstudents. One of the questions was \"When asked to create apassword, I have used either my mother's maiden name, or my pet'sname, or my birth date, or the last four digits of my socialsecurity number, or a series of consecutive numbers.\" For thestudents, 24 agreed with this statement while 28 of the nonstudentsagreed.
(a) Display the data in a two-way table.
| Students |   | Nonstudents |   | Total |
Agreed    | | | | | |
Disagreed    | | | | | |
Total    | | | | | 122 |
Perform the chi-square test. (Round your χ2 tothree decimal places and round your P-value to fourdecimal places.)
χ2 | =  | |
df | =  | |
P-value | =  | |
Summarize the results.
We cannot conclude at the 5% level that students and nonstudentsdiffer in the response to this question.We can conclude at the 5%level that students and nonstudents differ in the response to thisquestion.    ÂÂ
(b) Reanalyze the data using the methods for comparing twoproportions that we studied in the previous chapter. Compare theresults and verify that the chi-square statistic is the square ofthe z statistic. (Test students who agreed minusnonstudents who agreed. Round your z to two decimal placesand round your P-value to four decimal places.)
(c) The students in this study were junior and senior collegestudents from two sections of a course in Internet marketing at alarge northeastern university. The nonstudents were a group ofindividuals who were recruited to attend commercial focus groups onthe West Coast conducted by a lifestyle marketing organization.Discuss how the method of selecting the subjects in this studyrelates to the conclusions that can be drawn from it.