Question
Is the belwo correct? Do I need to add more to make the descriptive statistics portion compliete?> Table 1. Paired t-test of crime rates from
Is the belwo correct?
Do I need to add more to make the descriptive statistics portion compliete?>
Table 1. Paired t-test of crime rates from March to August, 2019 vs. 2020.
Crime cases | March | April | May | June | July | August | Mean |
2019 | 78,906 | 74,947 | 77,354 | 76,721 | 81,740 | 76,618 | 77,714 |
2020 | 65,819 | 48,570 | 57,083 | 62,112 | 70,377 | 71,156 | 62,519 |
t-test | t=0.002 (P<0.01) |
- Interpret Table 1 and the results of the t-test (write in paragraphs).Whatelse would I need with regards to descriptive statistics in addition to what I have below? Would additional information help interpret the results and also reinforce my T-test
2019 crime cases
Measures of Central Tendency
Mean77,714
Median 77037
Mode None
Range 6793
Interquartile range 2288
Variance 5520538
Standard deviation 2349.58
2020 crime cases
Mean62,519
Median 62519
Mode none
Range 22586
Interquartile range 13294
Variance 61921046
Standarddeviation 7868.99
A t-test is an ideal test for this comparison as it is looking the significance between two groups of data. In this case it would be the two years of violent crime. T-tests are useful to help determine if the variable is significantly relevant to explain the differences between two groups. This in turn would imply that set of circumstances are repeatable and significantly relevant to one another and not a product of chance. If the population data follows normal distribution it should be sufficient enough to pull conclusions from without additional tests or evaluations outside of the provided table.
The purpose of this study is to determine if during the during COVID-19 pandemic crime deceased over the course of a year in a large city. The initial averaged number of crimes are observably lower just from comparing the averages between 2019 and 2020. This however, does not indicate a statistical correlation or level of significance on its own by looking at just the data in the chart. It is important to ensure that there isn't false sense of validity and determine if the average monthly and yearly difference is significant enough to determine a correlation between the pandemic and the rate of crime beforehand.
To interpret the table and T-test results it is important to note the level of significance is 0.01 and the associated p-value = 0.002. When the associated p-value is more than the level of significance then the null hypothesis is accepted. When the associated p-value is less than or equal to the level of significance, the null hypotheisis is rejected for the alternative hypothesis.
- Make conclusions.
- Given that the p Value is .0002 <.01 which is less than the normal alpha variant set for the null hypothesis; we would therefore reject the null hypothesis which that stated that there was no relationship between the monthly number of crime rates in a large city and the decrease in crime rates during COVID-19 pandemic. We reject the null hypothesis when the p-value <= level of significance
- Given the rejection of the null hypothesis, then it shows a significant statistical relationship between the COVID-19 pandemic and the monthly number of crime rates in the large city when comparing 2020 and 2019.
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