Comparing the observed value to the critical value


Discuss the below:

Q: Perform hypothesis testing on one variable's data. (Choose either the intrinsic or extrinsic column.) Perform a t-test by formulating a null and an alternative statement, choosing an acceptable significance value, selecting the test statistic and determining its value from the sample data, comparing the observed value to the critical value obtained and determining whether to reject or fail to reject the null hypothesis.

In a separate paragraph, provide some information on when to use a t-test and when to use a z-test and why. Also, provide some information about why samples are used instead of populations.

KEY TO JOB SATISFACTION SURVEY
Gender
1 Male
2 Female
Age
1 21 and under
2 22-49
3 50 and over
Department 
1 Human Resources
2 Information Technology
3 Administration
Position
1 Hourly Employee (Overtime Eligible)
2 Salaried Employee (No Overtime)
Tenure With Company
1 Less than 2 years
2 2 to 5 years
3 Over 5 Years
OVERALL Scale from 1-7
  1 = Least Satisfied
  7 = Most Satisfied
INTRINSIC Scale from 1-7
  1= Least Satisfied
  7= Most Satisfied
EXTRINSIC Scale from 1-7
  1 = Least Satisfied
  7 = Most Satisfied
BENEFITS Scale from 1-7
  1= Least Satisfied
  7= Most Satisfied

GENDER AGE DEPT POSITION TENURE OVERALL INTRINSIC EXTRINSIC BENEFITS
1 2 2 1 1 2.8 1 1 6
1 1 2 1 2 4.3 3.8 6 5.7
1 1 2 1 2 5.3 4 1.5 3.5
1 1 2 1 1 4.8 4.2 5.5 5
1 3 3 1 3 1.8 5.2 5.5 5
1 2 2 1 1 4.1 5.4 6 5.2
1 3 3 1 1 4 5.5 6 3.8
1 2 3 1 1 5.3 5.7 6 4.6
1 2 3 2 1 3.2 4.2 5.5 7
1 2 3 2 2 4.6 4.7 5.5 4.5
1 1 3 2 2 4.6 5 3.5 5
1 2 1 2 1 3.6 5.5 4.5 6.8
1 1 2 2 3 5.8 6 5 5.1
2 2 3 1 3 2.2 5.8 2 4.6
2 2 2 1 2 3.2 6 4.5 6.1
2 1 2 1 2 4 6 2.5 6.2
2 3 1 1 1 5 6.2 7 5
2 2 3 1 1 7 6.2 7 5.2
2 2 3 1 3 5 6.3 6 5.8
2 2 3 1 1 6 6.4 5 4.8
2 2 2 1 1 3.2 6.5 5.5 5
2 2 3 2 2 4.4 5 7 5
2 2 1 2 3 6 5.6 7 5
2 2 2 2 1 3.8 5.7 6 5
2 3 3 2 1 2 5.7 6 4.5
2 2 3 2 1 5.8 6.2 6 4.6
2 2 1 2 1 4.6 6.3 6.5 5.2
2 1 1 2 2 6.2 6.6 5.5 6.1
2 2 3 2 3 6 7 6 4

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Basic Statistics: Comparing the observed value to the critical value
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