(Steps Shown) Instructors believe that science major students who take math and stat courses should show 20 \% of A grades, 30 \% of B grades, 25 \% of


Question: Instructors believe that science major students who take math and stat courses should show \(20 \%\) of A grades, \(30 \%\) of B grades, \(25 \%\) of C grades, \(15 \%\) of D grades, and 10% of F grades. The table below shows observed counts for one semester.

  1. Find the expected counts (fill the cells in the table above).
  2. Evaluate the test statistic and specify the number of degrees of freedom. Test statistic =
    Degrees of freedom =
  3. At the significance level of 5\%, do you have evidence that the grade distribution deviated from the hypothetical assumption? (yes / no)
    Critical value =
    Rejection rule states:
  4. At the significance level of \(1 \%\), do you have evidence that the grade distribution deviated from the hypothetical assumption? (yes / no)

Critical value =

Rejection rule states:

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Solution: The downloadable solution consists of 2 pages
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