Question 1
A random sample of 160 car accidents are selected and categorized by the age of the driver determined to be at fault. The results are listed below. The age distribution of drivers for the given categories is 18% for the under 26 group, 39% for the 26-45 group, 31% for the 45-65 group, and 12% for the group over 65. Find the rejection region used to test the claim that all ages have crash rates proportional to their number of drivers.
◦
χ2 > 7.815
◦
χ2 > 9.348
◦
χ2 > 6.251
◦
χ2 > 11.143
Question 2
Inc. Technology reported the results of consumer survey in which 300 Internet users indicated their level of agreement with the following statement: "The government needs to be able to scan Internet messages and user communications to prevent fraud and other crimes." The possible responses were "agree strongly", "agree somewhat", "disagree somewhat", and "disagree strongly". The number of Internet users in each category is summarized in the table.
Specify the null hypothesis for testing whether the true proportions of Internet users in each response category are equal.
◦ H
0: Internet users and Government scanning are independent
◦ H
0: p
1 = p
2 = p
3 = p
4 = 0.25, where p
i represents the proportion of Internet users in one of the four response categories
◦ H
0: μ
1 = μ
2 = μ
3= μ
4, where μ
i represents the average number of Internet users in one of the found response categories
◦ H
0: p
1 = 60, p
2 = 110, p
3 = 80, p
4 = 50, where p
i represents the proportion of Internet users in one of the four response categories
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