Significance Test

Why a Two proportion Z-test?

 The purpose of the study was to see if there was a useful comparison between two variables.

Test 1:

B = Half of high school students have jobs
H0=B = 0
Ha=B > 0
alpha=0.05

Test Statistic=t=b/Sb
p= .879  

Assumption: The central limit theorem applies because out sample size is greater than 30. Also we collected a random sample.

Test 2:                           

B= High schoolers who make minimum wage

H0=B = 0
Ha=B > 0
alpha=0.05
Test Statistic=t=b/Sb
p= 0.00

 Assumption: The central limit theorem applies because out sample size is greater than 30. Also we collected a random sample.

  Test 3:             

B= North Olmsted High schoolers who work more than 20 hours

H0=B = 0
Ha=B > 0
alpha=0.05
Test Statistic=t=b/Sb
p= 0.002

 Assumption: The central limit theorem applies because out sample size is greater than 30. Also we collected a random sample.

The Questions we asked:

Circle the answer that applies to you.

1.  Do you have a paying job?                        Yes     No

2. If you do have a job, do you make minimum wage, or more than minimum wage, or do you make less than minimum wage?

    Minimum wage     More than minimum wage    

3. If you do have a job, what is the average amount of hours that you work each week? Is it more than 20 hours a week, or less than 20 hours a week?

    More than 20 hours a week        Less than 20 hours a week

For our sample we have taken a sample of 250 students from the north olmsted high school.
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Raw data: RawData
Graphs: Graphs
MiniTab Calculations: TM000002.htm