Officials from Pennsylvania Department of Transportation (PENNDOT) question how a sample of 120 hours can prove whether or not more cars pass through with machine collections over manual collection, that is, how the results from the sample reflect the population. In a detailed paragraph of at least six to seven sentences, based on your knowledge and understanding of the concepts of inferential statistics, random sampling, and tests of statistical significance, respond to PENNDOT. Ensure that you mention what inferential statistics is and why we use it, what random sampling is, and what statistical significance is and why we test for it.
- Officials from Pennsylvania Department of Transportation (PENNDOT) question how a sample of 120 hours can prove whether or not more cars pass through with machine collections over manual collection, that is, how the results from the sample reflect the population. In a detailed paragraph of at least six to seven sentences, based on your knowledge and understanding of the concepts of
inferential statistics , random sampling, and tests of statistical significance, respond to PENNDOT. Ensure that you mention what inferential statistics is and why we use it, what random sampling is, and what statistical significance is and why we test for it.
if we ponder the relationship between commute time and job satisfaction while driving back and forth to campus. Your instructor hypothesizes that people with a shorter commute time will have higher degrees of job satisfaction. Randomly sampling 600 Valley commuters, the instructor finds the following data listed in frequencies:
Table 2: Commuters by Length of Commute and Job Satisfaction
|
Job Satisfaction |
Number Who Commute 20 Minutes or Less |
Number Who Commute 21 to 40 Minutes |
Number Who Commute 41 Minutes or More |
Total Number for Each Level of Job Satisfaction |
|
Dissatisfied |
10 |
60 |
140 |
210 |
|
Neutral |
45 |
59 |
51 |
155 |
|
Satisfied |
145 |
60 |
30 |
235 |
|
Total Number for Each Commute Time |
200 |
179 |
221 |
600 |
we calculate a chi-square of 202.5 with four degrees of freedom.
In a detailed paragraph of at least eight sentences, discuss whether the percent distribution of the cross-tab and chi-square support, or do not support, the instructor’s hypothesis. Ensure that you mention
-
- The null hypothesis
- The IV, DV, UA, and direction of relationship
- How the IV percent distribution changes in relation to the DV
- What level of significance you will use, and how the chi-square statistic obtained from the sample compares to its critical value
- Whether the results obtained from the sample are statistically significant, and how accurately the results would reflect the population
- Change frequencies to column percentages.
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