In: Math
Lying to a teacher. One of the questions in a survey of high school students asked about lying to teachers. The following table gives the number of students who said that they lied to a teacher as least once during the past year, classified by sex:
Sex |
Sex |
|
Lied as least once | Male |
Female |
Yes | 3,228 | 10,295 |
No | 9,659 |
4,620 |
A. Add the marginal totals to the table
B. Calculate appropriate percents to describe the results of this question
C. Summarize your findings in a short paragraph.
D. Test the null hypothesis that there is no association between sex and lying to teachers. Give the test statistics and the p-value with a sketch similar to the one on page 535 and summarize your conclusion. Be sure to include numerical and graphical summaries.
E. The survey asked student if they lied, but we do not know if they answered the question truthfully. How does this fact affect the conclusions that you can draw from this data?
a)
Male | Female | Total | |
Yes | 3228 | 10295 | 13523 |
No | 9659 | 4620 | 14279 |
Total | 12887 | 14915 | 27802 |
b) Divide the marginal total by the grand total and multiply by 100 to calculate the result
Male | Female | Total | |
Yes | 3228 | 10295 | 13523 (48.64%) |
No | 9659 | 4620 | 14279 (51.36%) |
Total | 12887 (46.35%) | 14915 (53.65%) | 27802 |
c) There are 46.35% Male in the survey, and 53.65% Female. Out of all high school students in the survey 48.64% agreed that they lied at least once to teacher.while 51.36% said no they didn't
d)
Since the null hypothesis is rejected, we can say that there is an association between sex and lying to teachers
e) Participants sometimes have second-guess what the researcher is up to, or change their answers in different ways, depending on the experiment.This is called participant or response bias, and it can have a great impact on the survey.