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 α = .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 critica

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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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 counties of south-central Minnesota. The data source is the Minnesota Department of Health. At α = .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.

  1. State the hypotheses and critical value for a chi-square test for independence.
  2. Perform the chi-square test for independence. Are the results reliable based on Cochran's Rule? Explain your reasoning.
  3. Report the chi-square test statistic, degrees of freedom, and p-value.
  4. Based on your findings, do you reject or fail to reject the null hypothesis? Explain the reasons for your decision.
  5. 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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