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Every Saturday, The Free Press , Mankato, Minnesota's daily newspaper, reports the number of new COVID-19 cases for the previous four weeks in the nine
Every Saturday, The Free Press, Mankato, Minnesota's daily newspaper, reports the number of new COVID-19 cases for the previous four weeks in the nine counties of south-central Minnesota. The data source is the Minnesota Department of Health. At = .05, are the new COVID-19 cases each week independent of the patients' county of residence? Use your analysis of the South-Central MN COVID-19 Cases 8.14-9,10 data to answer the following questions.
- State the hypotheses and critical value for a chi-square test for independence.
- Perform the chi-square test for independence. Are the results reliable based on Cochran's Rule? Explain your reasoning.
- Report the chi-square test statistic, degrees of freedom, and p-value.
- Based on your findings, do you reject or fail to reject the null hypothesis? Explain the reasons for your decision.
- Study your analysis and interpret what its output reveals. Be specific about the relationship between the weekly COVID-19 data and the 9-county region.
New COVID-19 Cases by Week in South-Central Minnesota | |||||
Counties | 8/14-8/20 | 8/21-8/27 | 8/28/-9/3 | 9/4-9/10 | Total |
Blue Earth | 117 | 144 | 140 | 158 | 559 |
Brown | 74 | 45 | 55 | 55 | 229 |
Faribault | 17 | 29 | 39 | 43 | 128 |
Le Sueur | 44 | 47 | 74 | 62 | 227 |
Martin | 25 | 36 | 40 | 40 | 141 |
Nicollet | 51 | 57 | 64 | 59 | 231 |
Sibley | 32 | 56 | 41 | 46 | 175 |
Waseca | 73 | 60 | 84 | 67 | 284 |
Watowan | 23 | 33 | 23 | 35 | 114 |
Region Total | 456 | 507 | 560 | 565 | 2088 |
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