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Hypothesis Testing for the Motor Vehicle Department

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Data from the Motor Vehicle Department indicate that 80% of all licensed drivers are older than age 25.

a. In a sample of n=60 people who recently received speeding tickets, 38 were older than 25 years and the other 22 were age 25 or younger. Is the age distribution for this sample significantly different from the distribution for the population of licensed drivers? Use alpha= .05.

Same as above, the total number of participants is 60. Obtain the expected frequencies using 80% and 20%.

b. In a sample of n=60 people who recently received parking tickets, 43 were older than 25 years and the other 17 were age 25 or younger. Is the age distribution for this sample significantly different from the distribution for the population of licensed drivers? Use alpha = .05.Same as above only the observed frequencies changed

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Solution Summary

This solution conducts a hypothesis test to test whether age distribution for given sample is significantly different from the distribution for the population of licensed drivers. This solution is provided in plain text and in an attached Excel file.

Solution Preview

Please refer attached file for complete solution. Some of the expressions are missing here.

Solution:
Expected Frequency for age above 25=48
Expected Frequency for age equal to 25 and above 25= 12

Ho: Age distribution is similar to distribution of population
H1: Age distribution of sample is different from that of population

Significance level=0.05
Fo Fe (Fo-Fe)^2/Fe
Age above 25 38 48 2.083333333
Age 25 and below 25 22 12 8.333333333
10.41666667

Test Statistics is chi square, calculated as ...

Solution provided by:
Lokesh Jain, MSc
Education
  • BEng (Hons) , Birla Institute of Technology and Science, India
  • MSc (Hons) , Birla Institute of Technology and Science, India
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