Question

In: Statistics and Probability

~~~~~~~~~~~~TO BE COMPLETED USING RSTUDIO~~~~~~~~~~~~~~ ~~~~~~~~~~~~(Please display all RCode used)~~~~~~~~~~~~~~ Independence Are all employees equally prone...

~~~~~~~~~~~~TO BE COMPLETED USING RSTUDIO~~~~~~~~~~~~~~

~~~~~~~~~~~~(Please display all RCode used)~~~~~~~~~~~~~~

Independence

Are all employees equally prone to having accidents? To investigate this hypothesis, a researcher looked at a light manufacturing plant and classified the accidents by type and by age of the employee. The observed results of the study are found below:

Age Under 25 25 or over Total
Sprain 1111 6161 7272
Burn 1818 1414 3232
Cut 1010 1212 2222
Total 3939 8787 126126


Determine whether age is independent of accident type using ?=0.04α=0.04. Follow the steps outlined in the assignment instructions.

  1. (a) Write the null and alternative hypotheses for this test.

  2. (b) Use the matrix instruction to create and display a table of values, with correct labels on rows and

    columns.

  3. (c) Obtain the test statistic and the P-value of the test using the chisq.test instruction.

  4. (d) Display the expected values. Are assumptions for the test satisfied?

  5. (e) Is age independent of accident type? Explain.

Solutions

Expert Solution

orchestra answered 1 year ago
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