A study of identity theft looked at how well consumers protect themselves from t
ID: 3370056 • Letter: A
Question
A study of identity theft looked at how well consumers protect themselves from this increasingly prevalent crime. The behaviors of 61 college students were compared with the behaviors of 55 nonstudents. One of the questions was "When asked to create a password, I have used either my mother's maiden name, or my pet's name, or my birth date, or the last four digits of my social security number, or a series of consecutive numbers." For the students, 22 agreed with this statement while 27 of the nonstudents agreed.
(a) Display the data in a two-way table.
Perform the chi-square test. (Round your ?2 to three decimal places and round your P-value to four decimal places.)
Summarize the results.
We can conclude at the 5% level that students and nonstudents differ in the response to this question.We cannot conclude at the 5% level that students and nonstudents differ in the response to this question.
(b) Reanalyze the data using the methods for comparing two proportions that we studied in the previous chapter. Compare the results and verify that the chi-square statistic is the square of the z statistic. (Test students who agreed minus nonstudents who agreed. Round your z to two decimal places and round your P-value to four decimal places.)
Explanation / Answer
SolutionA:
H0:students and nonstudents d0 not differ in the response to this question.
H1:tudents and nonstudents differ in the response to this question.
Perform the chi-square test.
Expected Freq=row total*colum total/Grand total
Df=(r-1)(c-1)
=(2-1)(2-1)
=1
df=1
p=0.1561
p>0.05
Do not reject Null hypthesis:
Accept null hypotehsis.
We cannot conclude at the 5% level that students and nonstudents differ in the response to this question.
Students Non students Total Agreed 22 27 49 Disagreed 39 28 67 Total 61 55 116Related Questions
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