Sampling

In order to be able to perform an adequate and well constructed test, the study must be conducted on a sample that fits correctly and adequately. Our test consists on taking the gender of person and asking him how many times, if any, he/she have been pulled over. Our sample must be chosen very carefully, due to the fact that if there is one misleading thing about the response we receive in return, the whole test may be ruined. For this test, we chose to ask 100 upperclassmen (11 & 12 grade) males and 100 upperclassmen (11 & 12 grade) females. With this sample size, we hope to receive enough feedback to be able to make a reliable test that the public can turn to for answers.
    Our sample was obtained from a list of names, our instructor had available for us. We tried to make the sampling as unbiased as we could. It came down to only choosing upperclassmen, since it is more likely that they have a license and there is a bigger possibility that he/she has been pulled over for whatever reason. We were able to use MINITAB to randomize 100 males and 100 females, that way our test was actually credible and not biased. Once our sample was randomized and selected, we continued on by sending surveys to the different classrooms, hoping we can get good feedback for our test.

SURVEY

STATS PROJECT SURVEY

Please answer the following survey to the best of your ability. The questions being asked will not be displayed to the public and are confidential to the viewer (me). Please answer them with honesty for your silly answer may ruin the test being conducted. Thank you for taking time from your day to answer this survey.
CIRCLE THE ANSWER THAT BEST APPLIES TO YOU

1. Do you have a driver’s license or your temps?    YES    NO (If no, please stop here)
2. How long have you had your license for?    _______________
3. Have you ever been pulled over for violating any transit laws (speeding, running through a stop sign, running through a light, etc.)        YES    NO
4. Have you ever texted and driven at the same time?    YES     NO
5. Do you own a car of your own?             YES    NO
6. CIRCLE YOUR GENDER            FEMALE        MALE

 

THE TEST

H_{0- There is no assocation between the number of times someone gets pulled over and gender}

H_{a- There is an association}

α: .05

Assumptions: The sample was randomly selected from the population and it is independent from another. The sample size, n, must be large enough so that the expected count in each cell is greater than or equal to 5. In this case, both assujmptions were met.

           No     Yes    Total

Female     60     14      74
      
Males      57     13      70
      
Total     117     27     144

      117.00  2

Pearson Chi-Squared = 0.003 DF = 1 P-Value = 0.957

Likelihood Ratio Chi-Square = 0.003, DF = 1, P-Value = 0.957

χ² = 0.003 with 1 DF

P-Value = .957

We fail to reject the null hypothesis at any level of significance because our P-Value is greater than any possible alpha.  Therefore we have insufficient evidence to say that there is a relationship between the gender of the driver and the amount of times he or she gets pulled over.